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1 Essentials of College Algebra 11th Edition Lial Test Bank Full Download: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List the ordered pairs from the table. 1) A) (, -9), (, -1), (7, -18), (8, -1) B) (, -1), (, -18), (7, -1), (8, -9) C) (, -1), (, -9), (7, -1), (8, -18) D) (-9, ), (-1, ), (-18, 7), (-1, 8) Answer: A ) Sales at the Universit Bookstore Month Sales 1 $00,000 $0,000 3 $1,190,000 $0,000 A) (1, 0,000), (, 00,000), (3, 0,000), (, 1,190,000) B) (0,000, 1), (1,190,000, ), (0,000, 3), (00,000, ) C) (00,000, 1), (0,000, ), (1,190,000, 3), (0,000, ) D) (1, 00,000), (, 0,000), (3, 1,190,000), (, 0,000) Answer: D For the points P and Q, find the distance d(p, Q). 3) P(, ), Q(-1, -3) A) - B) 73 C) D) Answer: B ) P(3, -), Q(, -1) A) B) 1 3 C) D) 1 Answer: C ) P(-, -1), Q(, 3) A) 18 B) C) 18 D) 8 Answer: B 1 Full download all chapters instantl please go to Solutions Manual, Test Bank site: testbanklive.com

2 ) P(, ), Q(-1, -) A) B) 7 C) 7 3 D) Answer: A 7) P( 7, -3 11), Q(9 7, - 11) A) -17 B) 13 C) -17 D) 13 Answer: B For the points P and Q, find the coordinates of the midpoint of the segment PQ. 8) P(7, ), Q(1, ) A) 3, - 1 B), 9 C) (, -1) D) (8, 9) Answer: B 9) P(, -), Q(-7, 7) 13 A), - 11 B) (13, -11) C) (-1, 3) D) - 1, 3 Answer: D ) P(-, -9), Q(9, 0) A) - 1, - 9 B) 3, - 9 C) (-1, -9) D) (3, -9) Answer: B

3 11) P(-1, 8), Q(-3, ) A) (, 3) B) (-, 13) C) -, 13 D) 1, 3 Answer: C 1) P(9, - ), Q(-, 0) A), B), - C), - D) (-, ) Answer: C 30 13) P(9 7, 13), Q(- 7, 13) A) 7, 13 B) 7, 13 C) 7, 13 D) 1, - Answer: B 39 1) P(-, 1), Q(0, 7) A) - + 7, 1 B) (-, 1 + 7) C), 1-7 D) -, Answer: D Determine whether the three points are the vertices of a right triangle. 1) (, -), (9, -), (9, 1) A) Yes B) No Answer: A 3

4 1) (-, 3), (-3, 7), (-1, ) A) Yes B) No Answer: A 17) (1, ), (7, ), (11, -) A) Yes B) No Answer: A 18) (7, 0), (13, ), (1, -3) A) Yes B) No Answer: B 19) (, ), (8, 8), (1, 1) A) Yes B) No Answer: B 0) (-11, ), (0, -), (, -3) A) Yes B) No Answer: A Determine whether the three points are collinear. 1) (-1, -9), (-8, -), (-0, -13) A) Yes B) No Answer: A ) (3, -), (-, -7), (0, -) A) Yes B) No Answer: B 3) (-1, -3), (1, 1), (9, 17) A) Yes B) No Answer: A ) (7, -3), (-, ), (1, 1) A) Yes B) No Answer: B

5 Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. ) midpoint (-1, 9), endpoint (-, ) A) (, 13) B) (, 1) C) (, 11) D) (-, -3) Answer: A ) midpoint (-, 1), endpoint (3, ) A) (1, -8) B) (13, ) C) (-7, 0) D) (-7, 3) Answer: C 7) midpoint (13, 1), endpoint (, ) A) (, 13) B) (, 11) C) (1, 9) D) (1, -3) Answer: D 8) midpoint (-1, -8), endpoint (3, -) A) (-, -1) B) (11, -1) C) (7, -18) D) (-, -) Answer: D 9) midpoint (d, ), endpoint (m, q) A) (d - m, - q) B) (m - d, q - ) C) d + m, + q D) (d - m, - q) Answer: D 30) midpoint p + d A) d, - w B) (d, -w) C) (d, w) 3p + d D) Answer: B, q - w, 3q - w, endpoint (p, q)

6 Solve the problem. 31) The graph shows an idealized linear relationship for the average monthl pament to retirees from 199 to Use the midpoint formula to estimate the average pament in Average Monthl Pament to Retirees Pament 0 0 a 1 3 b Year a = $; b = $0 A) $3 B) $00 C) $0 D) $8 Answer: D 3) The table lists how financial aid income cutoffs (in dollars) for a famil of four have changed over time. Use the midpoint formula to approimate the financial aid cutoff for 198. Year Income (in dollars) 190 1, , , , ,000 A) $18,000 B) $7,000 C) $3,000 D) $1,000 Answer: C

7 33) The table shows enrollment in -ear technical schools for 1980, 1990 and 000. Assuming a linear relationship, estimate the enrollment for 199. Year Enrollment (in millions) A) 3. million B) 1.7 million C). million D).1 million Answer: A Graph the equation b determining the missing values needed to plot the ordered pairs. 3) + = ; (1, ), (, ), (3, ) A)

8 B) C) D) Answer: D 8

9 3) - = -1; (, ), (, ), (3, ) A) B)

10 C) D) Answer: A 3) - = -8; (0, ), (, 0), (3, ), (, 3)

11 A) B) C)

12 D) Answer: A 37) - = -30; (0, ), (, 0), (-1, ) A)

13 B) C) D) Answer: A 13

14 38) = ; (0, ), (, 0), (1, ) - - A) - - B) - - C) - - 1

15 D) - - Answer: A Graph the equation b plotting points. 39) = A)

16 B) C) D) Answer: D 1

17 0) = A) B) C)

18 D) Answer: B 1) = A)

19 B) C) D) Answer: C 19

20 ) = A) B) C)

21 D) Answer: A 3) = A)

22 B) C) D) Answer: C

23 ) = A) B) C)

24 D) Answer: C ) = A)

25 B) C) D) Answer: B

26 ) = ( + ) A) B) C)

27 D) Answer: A Provide an appropriate response. 7) If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)? A) IV B) III C) II D) I Answer: D 8) If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)? A) I B) IV C) III D) II Answer: D 9) If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)? A) III B) II C) IV D) I Answer: B 0) If a vertical line is drawn through the point (-, -), where will it intersect the -ais? A) (-, 0) B) (-, 0) C) (0, -) D) (0, -) Answer: B 1) If a horizontal line is drawn through the point (, ), where will it intersect the -ais? A) (0, ) B) (, 0) C) (0, ) D) (, 0) Answer: A 7

28 ) What is the midpoint of the segment joining (d, ) and (-d, 7)? A) (-3d, ) B) (-d, ) C) (-d, 8) D) (d, 3) Answer: B 3) What is the distance from the origin to the point (m, -n)? A) m + n B) m + n C) m - n D) m - n Answer: A ) What is the distance from the point (c, z) to the point (m, q)? A) (c - z) + (m - q) B) [ m - c + q - z ] C) (m - c) - (q - z) D) (m - c) + (q - z) Answer: D ) Are the points A(-3, ), B(0, 7), C(, -1), and D(, ) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)? A) no; no B) es; es C) es; no D) no; es Answer: C ) Are the points A(-3, 11), B(0, 8), C(, 0), and D(, 3) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)? A) es; es B) no; es C) no; no D) es; no Answer: C Find the center-radius form of the equation of the circle. 7) center (0, 0), radius A) + = B) + = C) + = D) + = Answer: C 8

29 8) center (9, ), radius 11 A) ( + 9) + ( + ) = 11 B) ( + ) + ( + 9) = 11 C) ( - 9) + ( - ) = 11 D) ( - ) + ( - 9) = 11 Answer: C 9) center (7, 0), radius 8 A) + ( - 7) = 8 B) ( - 7) + = C) + ( + 7) = 8 D) ( + 7) + = Answer: B 0) center (0, ), radius 8 A) ( + ) + = B) ( - ) + = C) + ( + ) = 8 D) + ( - ) = Answer: D 1) center (-9, -8), radius 1 A) ( + 8) + ( + 9) = 19 B) ( - 8) + ( - 9) = 19 C) ( - 9) + ( - 8) = 1 D) ( + 9) + ( + 8) = 1 Answer: D ) center (0, -1), radius 3 A) ( - 1) + = 9 B) + ( - 1) = 3 C) ( + 1) + = 9 D) + ( + 1) = 3 Answer: D 3) center (-, 0), radius 13 A) ( + ) + = 13 B) + ( + ) = 19 C) ( - ) + = 13 D) ( + ) + = 13 Answer: D 9

30 ) center (- 1, -), radius 1 A) ( - 1) + ( - ) = 1 B) ( + 1) + ( + ) = 1 C) ( + 1) + ( + ) = 1 D) ( - 1) + ( - ) = Answer: C Graph the circle. ) + = A) B)

31 C) D) Answer: A ) ( - ) + ( + 1) =

32 A) B) C) D) Answer: C 3

33 7) ( - 1) + ( - ) = A) B) C)

34 D) Answer: B 8) + ( - ) = A)

35 B) C) D) Answer: A 3

36 9) ( - ) + = A) B) C)

37 D) Answer: B - Use the graph to determine the equation of the circle in center-radius form. 70) A) ( + ) + ( + ) = B) ( - ) + ( - ) = 1 C) ( + ) + ( + ) = 1 D) ( - ) + ( - ) = Answer: B 37

38 71) A) ( - 3) + ( + ) = B) ( + 3) + ( - ) = C) ( + 3) + ( - ) = 1 D) ( - 3) + ( + ) = 1 Answer: D 7) A) ( + 3) + ( - 3) = B) ( - 3) + ( + 3) = C) ( - 3) + ( + 3) = D) ( + 3) + ( - 3) = Answer: A 38

39 73) A) ( ( + 3) = B) ( + 1) + ( + 3) = C) ( - 1) + ( - 3) = D) ( - 1) + ( - 3) = Answer: B Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. 7) = 0 A) no; the graph is the point (-8, -) B) no; the graph is noneistent C) es D) no; the graph is the point (8, ) Answer: C 7) = 0 A) es B) no; the graph is the point (-, ) C) no; the graph is noneistent D) no; the graph is the point (, -) Answer: A 7) = 0 A) no; the graph is noneistent B) no; the graph is the point (-, ) C) es D) no; the graph is the point (, -) Answer: B 77) = 0 A) no; the graph is noneistent B) no; the graph is the point (9, -1) C) es D) no; the graph is the point (-9, 1) Answer: A 39

40 78) = 0 A) no; the graph is the point (-1, 3) B) es C) no; the graph is noneistent D) no; the graph is the point (1, -3) Answer: B Find the center and radius of the circle. 79) = 0 A) center: (-9, -); radius: 3 B) center: (-, -9); radius: 3 C) center: (9, ); radius: D) center: (, 9); radius: Answer: D 80) = 0 A) center: (-, -); radius: B) center: (, ); radius: C) center: (, ); radius: D) center: (-, -); radius: Answer: C 81) = 0 A) center: (8, -); radius: 3 B) center: (-, 8); radius: 3 C) center: (, -8); radius: 9 D) center: (-8, ); radius: 9 Answer: B 8) = 0 A) center: (, -), radius: B) center: (-, ), radius: C) center: (, -), radius: 1 D) center: (-, ), radius: 1 Answer: B Find the center-radius form of the circle described or graphed. 83) a circle having a diameter with endpoints (-1, -) and (-1, ) A) ( + ) + = 1 B) ( + 1) + = 1 C) + ( + ) = 1 D) ( + 1) + = Answer: B 0

41 8) a circle having a diameter with endpoints (0, ) and (, 0) A) ( - ) + ( - ) = 9 B) ( - ) + ( - ) = 9 C) + ( - ) = D) ( - ) + = Answer: B 8) a circle having a diameter with endpoints (-, -) and (-8, ) A) = 0 B) = 3 C) = 00 D) = Answer: D 8) (3, ) (7, ) A) ( + ) + ( + ) = B) ( - ) + ( - ) = C) ( - ) + ( - ) = D) ( + ) + ( + ) = Answer: B 1

42 87) (, 8) (, ) - - A) ( - ) + ( - ) = 9 B) ( + ) + ( + ) = 3 C) ( + ) + ( + ) = 9 D) ( - ) + ( - ) = 3 Answer: A Solve the problem. 88) Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (0, 9), (-1, 17), and (-8, -7) respectivel. The epicenter of an earthquake is determined to be units from X, 1 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located? A) at (-, ) B) at (-, 7) C) at (-, ) D) at (-3, ) Answer: D 89) The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: ( + 3) + ( + ) = 9, ( + 8) + ( + ) =, ( - 3) + ( + 13) = 0. Determine the location of the epicenter. A) at (-3, -) B) at (-, -) C) at (-, -3) D) at (-, -) Answer: A 90) Find the center-radius form of the equation of a circle with center (3, 8) and tangent to the -ais. A) ( - 3) + ( - 8) = 9 B) ( - 3) + ( - 8) = C) ( + 3) + ( + 8) = 9 D) ( + 3) + ( + 8) = Answer: B

43 91) Find the equation of a circle with center at (-, 3), passing through the point (1, 11). Write it in center-radius form. A) ( + ) + ( - 3 ) = B) ( - ) + ( + 3 ) = C) ( - ) + ( + 3 ) = 0 D) ( + ) + ( - 3) = 0 Answer: D 9) Find all points (, ) with = that are units from (-1, ). A) (-, -) and (3, 3) B) (, ) and (3, 3) C) (-, -) and (-3, -3) D) (, ) and (-3, -3) Answer: B 93) Find all values of such that the distance between (, ) and (-, 3) is 13. A) -8, B) -, 8 C) -8, - D), 8 Answer: B 9) A circle has a diameter with endpoints (-, 1) and (, 13). Find the coordinates of the center. A) (, ) B) (-8, -) C) (8, 1) D) (, 7) Answer: D 9) A circle has a diameter with endpoints (-, 1) and (, 9). Find the radius. A) B) C) D) Answer: A 9) Find the center-radius form of the equation of the circle having a diameter with endpoints (-, 1) and (3, 7). A) ( - 1) + ( + ) = B) ( + 3) + ( - 7) = C) ( - 3) + ( + 7) = 0 D) ( + 1) + ( - ) = Answer: D Decide whether the relation defines a function. 97) {(-3, -), (3, ), (, ), (7, -7), (, -1)} A) Not a function B) Function Answer: B 3

44 98) {(-, 1), (-3, -), (3, -3), (3, )} A) Function B) Not a function Answer: B 99) {(-8, ), (-8, 8), (1, ), (, -), (, )} A) Function B) Not a function Answer: B 0) {(-3, -), (-1, ), (, -7), (7, )} A) Function B) Not a function 1) Answer: A ) A) Function B) Not a function Answer: A 3) A) Not a function B) Function Answer: A A) Function B) Not a function Answer: B

45 ) Student Test Score Name Test Score Bob L. 7 Susan H. 83 Jim H. 7 Bruce B. 9 A) Function B) Not a function Answer: A ) Student Test Score Name Test Score Bob L. 91 Susan H. 83 Jim H. 91 Bruce B. 9 A) Function B) Not a function Answer: A ) Annual New Telemarketing Companies Year Number A) Function B) Not a function 7) Answer: A A) Function B) Not a function Answer: A

46 8) A) Function B) Not a function Answer: A 9) A) Not a function B) Function Answer: A 1) A) Function B) Not a function Answer: A

47 111) A) Function B) Not a function Answer: B 11) A) Not a function B) Function Answer: A 113) A) Function B) Not a function Answer: A 7

48 11) A) Function B) Not a function Answer: A 11) A) Not a function B) Function Answer: B 11) A) Not a function B) Function Answer: A 8

49 Give the domain and range of the relation. 117) {(, 9), (-3, -8), (-, -), (, 0)} A) domain: {,, 9}; range: {-8, -, -, -3} B) domain: {-8, -, 0, 9}; range: {-, -3,, } C) domain: {-, -3,, }; range: {-8, -, 0, 9} D) domain: {-8, -, -, -3}; range: {,, 9} Answer: C 118) {(1, 9), (-1, -9), (-7, -), (, -9)} A) domain: {-9, -, 9}; range: {-7, -1, 1, } B) domain: {-7, -1, 1, }; range: {-9, -, 9} C) domain: {-9, -7, -, -1}; range: {1,, 9} D) domain: {1,, 9}; range: {-9, -7, -, -1} Answer: B 119) {(1, 1), (-3, -3), (-7, -7), (, )} A) domain: {-7, -3}; range: {1, } B) None of these C) domain: {1, }; range: {-7, -3} D) domain: {-7, -3, 1, }; range: {-7, -3, 1, } 10) Answer: D 11) A) None of these B) domain: {,, 7}; range: {8, 1, 13} C) domain: {, 8, 13}; range: {, 7, 1} D) domain: {, 7, 1}; range: {, 8, 13} Answer: D A) domain: {,, 7}; range: {1, 13} B) domain: {, 13}; range: {, 7, 1} C) domain: {, 7, 1}; range: {, 13} D) None of these Answer: C 9

50 1) A) domain: {, 7, 1}; range: {, 8, 13} B) domain: {, 8, 13}; range: {, 7, 1} C) None of these D) domain: {, 1}; range: {, 13} Answer: A 13) A) domain: {, 8, 1}; range: {, 7, 13} B) domain: {, 7, 1}; range: {, 8, 13} C) domain: {, 8, 13}; range: {, 7, 1} D) None of these Answer: B 1) A) domain: {, 8, 1}; range: {, 7, 13} B) None of these C) domain: {, 7, 1}; range: {, 8, 13} D) domain: {, 8, 13}; range: {, 7, 1} Answer: D 1) Annual New Telemarketing Companies Year Number A) None of these B) domain: {199, 199, 1997, 1998, 1999}; range: {, 11, 178, 187, 318} C) domain: {Year}; range: {Number} D) domain: {, 11, 178, 187, 318}; range: {199, 199, 1997, 1998, 1999} Answer: B 0

51 1) Annual New Telemarketing Companies Year Number A) None of these B) domain: {Year}; range: {Number} C) domain: {,, 170, 187, 18}; range: {1993, 199, 199, 199, 1997} D) domain: {1993, 199, 199, 199, 1997}; range: {,, 170, 187, 18} Answer: D 17) A) domain: (-, -3) (-3, ); range: (-, 0) (0, ) B) domain: (-, 0) (0, ); range: (-, -3) (-3, ) C) domain: (-, ); range: (-, ) D) domain: (-, 0] [0, ); range: (-, -3] [-3, ) Answer: C 18) A) domain: (-, ); range: {8} B) domain: (-, ); range: (-, ) C) domain: (-, ); range: (-, 8) (8, ) D) domain: {8}; range: (-, ) Answer: A 1

52 19) A) domain: (-, ); range: (-, ) B) domain: {1}; range: (-, ) C) domain: (-, 1) (1, ); range: (-, ) D) domain: (-, ); range: {1} Answer: B 130) - - A) domain: (1, ); range: (, ) B) domain: (-, ); range: (-, ) C) domain: [1, ); range: (-, ) D) domain: (-, ); range: [1, ) Answer: C

53 131) A) range: (-3, 0) (0, 3); domain: (-, 0) (0, ) B) range: (-, ); domain: (-, ) C) range: (-3, 3); domain: (-, ) D) range: (-, -3) (-3, 0) (0, 3) (3, ); domain: (-, -) (-, 0) (0, ) (, ) Answer: B 13) A) range: (-, ) (, ); domain: (-, -) (-, ) B) range: (-, 0) (0, ) (, ); domain: (-, -) (-, 0) (0, ) C) range: (-, ); domain: (-, ) D) None of these Answer: C 3

54 133) - - A) domain: (0, ); range: [3, ) B) domain: (-, 0) (0, ); range: (-, 0) (0, ) C) domain: (-, ); range: [, ) D) domain: (-, 0); range: (-, 0) Answer: C 13) A) domain: [-3, 0]; range: [-, -1] B) domain: [-, -1]; range: [-3, 0] C) domain: (-, -1]; range: [0, 3] D) domain: [0, 3]; range: (-, -1] Answer: A

55 13) A) domain: (-, ) or (, ); range: (-, 1) or (1, ) B) domain: (-, ]; range: (-, 1] C) domain: (-, ); range: (-, ) D) domain: (-, ); range: (-, 1] Answer: D 13) A) domain: [0, ); range: [3, ) B) domain: (-, ); range: [3, ) C) domain: [0, ); range: [0, ) D) domain: [0, ); range: (-, ) Answer: A Decide whether the relation defines a function. 137) 3 = 9 - A) Function B) Not a function Answer: A 138) = - A) Not a function B) Function Answer: B

56 139) = 3 A) Function B) Not a function Answer: A 10) = A) Not a function B) Function Answer: A 11) = - A) Function B) Not a function Answer: A 1) - > -9 A) Function B) Not a function Answer: B 13) = A) Function B) Not a function Answer: B 1) = A) Not a function B) Function Answer: B 1) = -3 A) Function B) Not a function 1) = Answer: A - 1 A) Function B) Not a function Answer: A Give the domain and range of the relation. 17) = + 8 A) domain: (-, ); range: [8, ) B) domain: (8, ); range: (-, ) C) domain: (-, ); range: (-8, ) D) domain: (-8, ); range: (-, ) Answer: A

57 18) = ( + ) - A) domain: (-, -); range: (-, ) B) domain: (, ); range: (-, ) C) domain: (-, ); range: [-, ) D) domain: (-, ); range: (-, -) Answer: C 19) = + 11 A) domain: (-, ); range: [0, ) B) domain: [0, ); range: (-, ) C) domain: (-, ); range: (-, ) D) domain: (-, ); range: [11, ) Answer: C 10) = 37 A) domain: (-, ); range: [3, ) B) domain: (-, ); range: (-, ) C) domain: (-, ); range: [0, ) D) domain: (-, ); range: [-3, ) Answer: B 11) = A) domain: [0, ); range: [0, ) B) domain: (-, ); range: (-, ) C) domain: [0, ); range: (-, ) D) domain: (-, ); range: [0, ) Answer: C 1) = 8 A) domain: (-, 0) (0, ); range: [0, ) B) domain: (-, 0) (0, ); range: (-, 0) (0, ) C) domain: (-, ); range: (-, ) D) domain: [0, ); range: (-, ) Answer: B 13) = + A) domain: [-, ); range: [0, ) B) domain: (-, ); range: (-, ) C) domain: (-, ); range: [-, ) D) domain: [0, ); range: (-, ) Answer: A 7

58 1) = - A) domain:, ; range: [0, ) B) domain:, ; range: (-, ) C) domain: (-, ); range:, 1) = 1) = D) domain:, ; range: [0, ) Answer: D A) domain: (-, 17) (17, ); range: (-, ) B) domain: (-, ); range: (-, ) C) domain: (-, ); range: (-, 0) (0, ) D) domain: (-, 17) (17, ); range: (-, 0) (0, ) Answer: D -7 - A) domain: (-, -) (, ); range: (-, ) B) domain: (-, ) (, ); range: (-, ) C) domain: (-, ) (, ); range: (-, 0) (0, ) D) domain: (-, -) (-, ); range: (-, 0) (0, ) Answer: C Evaluate the function. 17) Find f(-) when f() = A) 13 B) 7 C) D) - Answer: A 18) Find f(-1) when f() = A) B) -8 C) - D) Answer: C 19) Find f(0) when f() = A) 0 B) C) - D) Answer: C 8

59 10) Find f(-3) when f() = A) B) 1 C) D) 3 Answer: B 11) Find f 1 when f() = A) B) 37 8 C) 1 D) - 1 Answer: A 1) Find g(a + 1) when g() = 1 +. A) a + B) 1 a + C) 1 a - D) a - Answer: A 13) Find g(a - 1) when g() = -. A) a + 1 B) a - C) 1 a - D) a - 7 Answer: D 1) Find f(k) when f() = A) 3k + 1k + B) 3k + k + C) 3k + k + D) 9k + 1k + Answer: C 9

60 1) Find f(-) when f() = A) B) C) D) Answer: A 1) Find f(k - 1) when f() = A) k + 13k + B) k - 11k + 11 C) k - 11k + D) -11k + k + 11 Answer: B 17) Find f(3) if f = {(-, 3), (3, 0), (0, ), (, -)} A) - B) (0, -) C) None of these D) 0 Answer: D 18) Find f(1) f A) None of these B) C) (7, ) D) 7 Answer: D 0

61 The graph of = f() is given. Use the graph to find the function value. 19) 170) Find f(-). A) 1 B) 1.8 C) None of these D) - Answer: B 171) Find f(). A) 1 B) C) -1 D) None of these Answer: A Find f(-3). A) None of these B) C) -3 D) - Answer: D 1

62 17) Find f(-) A) B) 1. C) D) - Answer: A ) Find f() A) 9 B) -11 C) D) 11 Answer: D

63 17) Find f(-3). - A) -3 B) C) - D) 0 Answer: D - An equation that defines as a function of is given. Solve for in terms of, and replace with the function notation f(). 17) - = 1 A) f() = B) f() = 1-7 C) f() = D) f() = 1-1 Answer: B 17) + 7 = 7 A) f() = 7-7 B) f() = C) f() = D) f() = Answer: B 177) - = 7 - A) f() = B) f() = C) f() = D) f() = Answer: B 3

64 178) 9 + = 8 A) f() = B) f() = C) f() = 9-8 D) f() = 9-8 Answer: A 179) - = 3 A) f() = - 3 B) f() = + 3 C) f() = - 3 D) f() = + 3 Answer: C Determine the intervals of the domain for which the function is increasing, decreasing, and constant. 180) - (-1, 0) - A) Increasing (-, 1]; Decreasing [1, ) B) Increasing [1, ); Decreasing (-, 1] C) Increasing (-, -1]; Decreasing [-1, ) D) Increasing [-1, ); Decreasing (-, -1] Answer: D

65 181) (0, 3) - - A) Increasing (-, 0]; Decreasing [0, - ) B) Increasing (-, 0]; Decreasing (-, 0] C) Increasing [0, ); Decreasing (-, 0] D) Increasing (-, 0]; Decreasing [0, ) Answer: C 18) - (0, -) - A) Increasing (-, 0]; Decreasing (-, 0] B) Increasing (-, 0]; Decreasing [0, ) C) Increasing [0, ); Decreasing (-, 0] D) Increasing (-, 0]; Decreasing [0, - ) Answer: B

66 183) - - A) Increasing [0, ); Decreasing (-, 0] B) Increasing (-, 0]; Decreasing [0, ) C) Increasing for all reals; Decreasing never D) Increasing never; Decreasing for all reals Answer: C 18) - - A) Increasing [3, ); Decreasing [-3, ); Constant (-3, 3) B) Increasing (-, 3]; Decreasing(-, -3]; Constant (-3, 3) C) Increasing (-, 3]; Decreasing [-3, ); Constant [-3, 3] D) Increasing [3, ); Decreasing (-, -3]; Constant [-3, 3] Answer: D

67 18) - - A) Increasing [, ); Decreasing (-, ] B) Increasing (-, ]; Decreasing (-, ] C) Increasing (-, ]; Decreasing [, ) D) Increasing [, ); Decreasing [ ) Answer: C 18) A) Increasing never; Decreasing (-, -) (, ) B) Increasing (-, -) (, ); Decreasing never C) Increasing (, ); Decreasing (-, -) D) Increasing (-, ); Decreasing (-, -) (, ) Answer: B 7

68 Use the graph to solve the problem. 187) The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after. s? h 1 3 t A) 0 ft B) 3 ft C) 300 ft D) 7 ft Answer: D 188) The surface area a of a clinder is shown in the graph below. What is the radius r if the surface area is m? 0 a r A) -0. m B) 0.0 m C) 0. m D) 0. m Answer: D 8

69 189) The graph shows the relationship between current I and resistance R if the voltage is fied. Find the current if the resistance is 1.1Ω. 3 1 I R A). A B). A C).8 A D). A Answer: D 190) The graph shows the relationship between the area A of a rectangle and the length L, if the width is fied. Find the area if the length is cm A L A) 3 cm B) 18 cm C) cm D) 7 cm Answer: C 9

70 The line graph shows the recorded hourl temperatures in degrees Fahrenheit at an airport. 191) At what time was the temperature the highest? A) 11 a.m. B) 1 p.m. C) p.m. D) p.m. Answer: B 19) At what time was the temperature its lowest? A) 9 a.m. B) p.m. C) 1 p.m. D) p.m. Answer: A 193) What temperature was recorded at 1 p.m.? A) 81 F B) 79 F C) 80 F D) 77 F Answer: B 19) During which hour did the temperature increase the most? A) 1 p.m. to 1 p.m. B) a.m. to 11 a.m. C) 1 p.m. to p.m. D) 9 a.m. to a.m. Answer: B 70

71 19) At what time was the temperature 73? A) a.m. and 11 a.m. B) a.m. C) p.m. and p.m. D) p.m. Answer: B 19) During which two hour period did the temperature increase the most? A) a.m. to 1 p.m. B) a.m. to 11 a.m. C) 9 a.m. to 11 a.m. D) 1 p.m. to p.m. Answer: C 197) At what times was the temperature higher than 77 F? A) from 11 a.m. until 3 p.m. B) from 1 p.m. until 1 p.m. C) from 1 p.m. until 3 p.m. D) after 1 p.m. Answer: C 198) At what times was the temperature below 77 F? A) from 9 a.m. until 11 a.m. and from 3 p.m. until p.m. B) from 9 a.m. until 1 p.m. and from 3 p.m. until p.m. C) after 3 p.m. D) from 1 p.m. until 3 p.m Answer: A Match the description with the correct smbolic epression. 199) a linear function whose graph has a slope of 7 A) = 7 + B) = 7 C) 7 - = D) f() = Answer: A 00) a linear function whose graph has -intercept - A) f() = - - B) = 3 C) = D) = - Answer: A 01) a vertical line A) f() = -9 + B) - = 7 C) = D) = + 7 Answer: C 71

72 0) a constant function A) f() = - B) = C) = 9 D) = -7 Answer: A 03) a linear equation whose graph has -intercept -7 and -intercept 8 A) = B) = 0 C) = 8 D) f() = -7 Answer: B 0) a linear function whose graph passes through the origin A) = B) f() = C) 9-9 = 9 D) = - Answer: D 0) a line with a negative slope A) f() = -1 B) + 9 = -7 C) = -7 D) = -1 Answer: B 0) a function that is not linear A) f() = 8 + B) f() = - C) f() = -1 D) f() = Answer: B 07) a line with a positive slope A) = 13 B) = 13 C) = D) = - Answer: B 08) a horizontal line A) = B) = - C) f() = 13 D) = -9 Answer: C Graph the linear function and give the domain and the range. If the function is a constant function, identif it as such. 7

73 09) f() = A) D = (-, ), R = (-, ) B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, )

74 D) D = (-, ), R = (-, ) Answer: A ) g() = A) D = (-, ), R = (-, )

75 B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, ) D) D = (-, ), R = (-, ) Answer: A 7

76 11) 3-9 = A) D = (-, ), R = (-, ) B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, )

77 D) D = (-, ), R = (-, ) Answer: D 1) - = A) D = (-, ), R = (-, )

78 B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, ) D) D = (-, ), R = (-, ) Answer: A 78

79 13) h() = A) D = (-, ), R = (-, ) B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, )

80 D) D = (-, ), R = (-, ) Answer: B 1) f() = A) D = (-, ), R = (-, )

81 B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, ) D) D = (-, ), R = (-, ) Answer: D 81

82 1) f() = A) D = (-, ), R = (-, ) B) D = (-, ), R = (-, ) C) D = (-, ), R = (-, )

83 D) D = (-, ), R = (-, ) Answer: B 1) h() = A) D = {-}, R = (-, ) constant function

84 B) D = {-}, R = (-, ) constant function C) D = (-, ), R = {-} constant function D) D = (-, ), R = {-} constant function Answer: D Graph the line and give the domain and the range. 8

85 17) = A) D = (-, ), R = {-} B) D = {-}, R = (-, )

86 C) D = {-}, R = (-, ) D) D = (-, ), R = {-} ) = 1 Answer: D

87 A) D = {1}, R = (-, ) B) D = (-, ), R = {1} C) D = {1}, R = (-, )

88 D) D = (-, ), R = {1} Answer: A 19) + 1 = A) D = (-, ), R = {-1}

89 B) D = (-, ), R = {-1} C) D = (-, ), R = (-, ) D) D = {-1}, R = (-, ) Answer: D 89

90 0) - = A) D = (-, ), R = {} B) D = (-, ), R = (-, )

91 C) D = {}, R = (-, ) D) D = (-, ), R = {} Answer: A 1) = 0 A) D = (-, ), R = {-8}

92 B) D = {8}, R = (-, ) C) D = {-8}, R = (-, ) D) D = (-, ), R = {8} Answer: B -8-9

93 ) + 1 = 0 A) D = {-}, R = (-, ) B) D = (-, ), R = {-} C) D = {-}, R = (-, )

94 D) D = (-, ), R = {-} Answer: D - Find the slope of the line satisfing the given conditions. 3) through (-, -8) and (8, -7) A) 13 1 B) 13 C) D) - 13 Answer: B ) through (, -9) and (-1, ) A) B) 1 3 C) D) 3 1 Answer: A ) through (-3, -) and (-, -8) A) - B) C) - 1 D) 1 Answer: A 9

95 ) through (, -9) and (-, -7) A) - 11 B) - 11 C) 11 D) 11 Answer: B 7) through (-8, -) and (-8, ) A) 11 B) -11 C) undefined D) 0 Answer: C 8) through (-7, ) and (-, ) A) - B) 0 C) D) undefined Answer: B 9) vertical, through (-7, 3) A) 1 B) -1 C) 0 D) undefined Answer: D 30) horizontal, through (-, 1) A) undefined B) -1 C) 0 D) 1 Answer: C Find the slope of the line and sketch the graph. 9

96 31) - = A) m = B) m =

97 C) m = D) m: undefined Answer: C 3) =

98 A) m = B) m = C) m =

99 D) m = Answer: D 33) = A) m =

100 B) m = C) m = D) m = Answer: B 0

101 3) -3 = A) m = B) m =

102 C) m = D) m = Answer: C 3) 3 + =

103 A) m = B) m = C) m =

104 D) m = Answer: D 3) - = A) m =

105 B) m = C) m = D) m = Answer: C Graph the line described.

106 37) through (0, ); m = A) B) C)

107 D) Answer: A 38) through (-3, -9); m = A)

108 B) C) D) Answer: C 8

109 39) through (0, ); m = A) B) C)

110 D) Answer: B 0) through (0, ); m = A)

111 B) C) D) Answer: B 111

112 1) through (, 0); m = A) B) C)

113 D) Answer: A ) through (, 8); m = A)

114 B) C) D) Answer: D 11

115 3) through (, -); m = A) B) C)

116 D) Answer: A ) through (3, 9); undefined slope A)

117 B) C) D) - - Answer: A 117

118 Choose the value which could represent the slope of the line. Assume that the scale on the -ais is the same as the scale on the -ais. ) ) A) -1 B) C) 1 D) - Answer: A A) 1 B) 7 C) -7 D) -1 Answer: A 118

119 7) A) B) - 1 C) 1 D) - Answer: A 8) A) 3 B) 0 C) undefined D) - Answer: C 119

120 9) A) B) undefined C) 0 D) - Answer: C Find the average rate of change illustrated in the graph. 0) Distance Traveled (in miles) A) miles per hour B). miles per hour C) 0. miles per hour D) miles per hour Answer: A 1 3 Time (in hours) 10

121 1) 3 30 Value of Car (in thousands of dollars) A) -$00.00 per ear B) $ per ear C) -$ per ear D) $00.00 per ear Answer: A Year ) Monthl Cellular Phone Charge (in dollars) A) $0.0 per minute B) $.00 per minute C) $0. per minute D) $.00 per minute Answer: C Usage (in minutes) 11

122 3) Height of Sand in Hourglass (in mm) (, 1.) (, 7.) Time (in seconds) A) 0.8 mm per second B) 1.3 mm per second C) 1 mm per second D) 0.7 mm per second Answer: D Solve the problem. ) From April through December, the stock price of QRS Compan had a roller coaster ride. The chart below indicates the price of the stock at the beginning of each month during that period. Find the average rate of change in price per month between June and September. Round to the nearest cent. Month Price April ( = 1) 11 Ma 7 June 89 Jul 99 August 9 September 111 October 9 November 8 December A) -$11.00 per month B) $7.33 per month C) $11.00 per month D) -$7.33 per month Answer: B 1

123 ) Along with incomes, people's charitable contributions have steadil increased over the past few ears. The table below shows the average deduction for charitable contributions reported on individual income ta returns over ears. Find the average rate of change per ear between ear 3 and ear. Year Charitable Contributions 1 $170 $30 3 $0 $80 $300 $3190 A) $30 per ear B) $80 per ear C) $3 per ear D) $90 per ear Answer: D ) The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of has a rate of return of.0%. An investment with a risk factor of 19 has a rate of return of 1.0%. What is the average rate of change in return per unit of risk? Round to two decimal places. A) 0.71% per unit risk B) 1.0% per unit risk C).3% per unit risk D) 0.1% per unit risk Answer: D 7) A deep sea diving bell is being lowered at a constant rate. After minutes, the bell is at a depth of 00 ft. After 0 minutes the bell is at a depth of 1900 ft. What is the average rate of change of depth? Round to one decimal place. A).0 ft per minute B) 3. ft per minute C) 0.03 ft per minute D) 38.0 ft per minute Answer: B 8) The linear function f() = models the percentage of people, f(), who graduated from college ears after Find and interpret the slope. A) m =.9; the percentage of people graduating from college has decreased at a rate of.9% per ear since B) m =.9; the percentage of people graduating from college has increased at a rate of.9% per ear since C) m = 3; the percentage of people graduating from college has increased at a rate of 3% per ear since D) m = -.9; the percentage of people graduating from college has decreased at a rate of.9% per ear since Answer: B 13

124 9) A school has just purchased new computer equipment for $1, The graph shows the depreciation of the equipment over ears. The point (0, 1,000) represents the purchase price and the point (, 0) represents when the equipment will be replaced. Find and interpret the average rate of change in cost per ear A) $3000 per ear; the value of the equipment increases b $3000 per ear during these ears. B) -$1,000 per ear; the value of the equipment decreases b $1,000 per ear during these ears. C) -$3000 per ear; the value of the equipment decreases b $3000 per ear during these ears. D) - $3000 per ear; the value of the equipment decreases b $3000 per ear during these ears. Answer: D 0) An investment is worth $390 in ear 0, the initial investment ear. B ear its value has increased to $80. Let be the value of the investment in the ear. Find and interpret the average rate of change in value per ear. A) $8 per ear; the value of the investment increases b $8 per ear during these ears. B) $791 per ear; the value of the investment increases b $791 per ear during these ears. C) $390 per ear; the value of the investment increases b $390 per ear during these ears. D) -$8 per ear; the value of the investment decreases b $8 per ear during these ears. Answer: A 1) A faucet is used to add water to a large bottle that alread contained some water. After it has been filling for seconds, the gauge on the bottle indicates that it contains 1 ounces of water. After it has been filling for 1 seconds, the gauge indicates the bottle contains 9 ounces of water. Find and interpret the average rate of change in the volume of water per second. A) ounces per second; the average rate of change in the volume of water is ounces per second. B) 17 ounces per second; the average rate of change in the volume of water is 17 ounces per second. C) ounces per second; the average rate of change in the volume of water is ounces per second. D) 1 ounce per second; the average rate of change in the volume of water is 1 ounce per second. Answer: A ) Regrind, Inc. regrinds used tpewriter platens. The variable cost to regrind each platen is $1.90. The total cost to regrind 0 platens is $00. Find the linear cost function to regrind platens. If reground platens sell for $8.00 each, how man must be reground and sold to break even? A) C() = ; 1 platens B) C() = ; platens C) C() = ; 3 platens D) C() = ; platens Answer: C 1

125 3) Northwest Molded molds plastic handles which cost $0.0 per handle to mold. The fied cost to run the molding machine is $ per week. If the compan sells the handles for $.0 each, how man handles must be molded and sold weekl to break even? A) 93 handles B) 777 handles C) 938 handles D) 11 handles Answer: D ) A lumber ard has fied costs of $78.80 per da and variable costs of $0.7 per board-foot produced. Lumber sells for $1.8 per board-foot. How man board-feet must be produced and sold dail to break even? A) 17 board-feet B) 08 board-feet C) 9 board-feet D) 378 board-feet Answer: B Match the equation with the correct graph. ) 7 + = -18 A) 1 8 B)

126 C) D) 1 8 Answer: B ) - 7 = 1 A)

127 B) C) 1 8 D) Answer: B

128 7) = A) B) 1 8 C)

129 D) 1 8 Answer: B ) = A) 1 8 B)

130 C) D) 1 8 Answer: D ) - = 3 ( + ) 8 A)

131 B) C) 1 8 D) Answer: C

132 70) + = ( + 1) A) B) 1 8 C)

133 D) 1 8 Answer: D ) = 1 A) 1 8 B)

134 C) D) 1 8 Answer: B 7) = A)

135 B) C) 1 8 D) Answer: A Write an equation for the line described. Give our answer in standard form. 73) through (0, ), m = A) - = -1 B) - = -1 C) + = -1 D) - = 1 Answer: A 13

136 7) through (, ), undefined slope A) = B) = C) = D) = Answer: B 7) -intercept 3, -intercept A) - 3 = B) = C) + 3 = - D) + 3 = Answer: D Write an equation for the line described. Give our answer in slope-intercept form. 7) m =, through (, -) A) = + 11 B) = - 1 C) = + 13 D) = - Answer: B 77) m = -9, through (-9, ) A) = B) 9 + = 79 C) = D) = 9-77 Answer: A 78) m =, through (-9, 7) 3 A) = B) = 3-13 C) = D) = Answer: D 79) horizontal, through (, -) A) = - B) = C) = D) = - Answer: D 13

137 80) vertical, through (-, ) A) = B) = C) = - D) = - Answer: C 81) through (, 1), m = 0 A) = B) = 1 C) = 1 D) = Answer: B 8) through (, 8) and (0, -7) A) = B) = C) = 7-7 D) = 1-7 Answer: D 83) m = -3, b = 9 A) = 9-3 B) = 0 C) = D) = Answer: C 8) m = 3, b = -3 A) = B) = 3-3 C) 3-3 = 0 D) = Answer: B 137

138 8) slope 0, -intercept 11 3 A) = 11 3 B) = 11 3 C) = D) = 11 3 Answer: B Find the slope and the -intercept of the line. 8) = 71 A) slope: 9 71 ; -intercept: 7 7 B) slope: ; -intercept: 7 71 C) slope: ; -intercept: 7 7 D) slope: 7 9 ; -intercept: 7 71 Answer: C 87) - 8 = 8 A) slope: - 3 ; -intercept: 1 B) slope: 3 ; -intercept: -1 C) slope: 3 ; -intercept: 1 D) slope: - ; -intercept: -1 3 Answer: B 88) = -9 + A) slope: ; -intercept: 9 B) slope: 9; -intercept: C) slope: ; -intercept: -9 D) slope: -9; -intercept: Answer: D 138

139 89) - = 3 A) slope: 0; -intercept: - 3 B) slope: 0; -intercept: - 3 C) slope: - 3 ; -intercept: 0 D) slope: - 3 ; -intercept: 0 Answer: D 90) + = -3 A) slope: - 3 ; -intercept: - 1 B) slope: 1 ; -intercept: - 3 C) slope: -; -intercept: -3 D) slope: - 1 ; -intercept: - 3 Answer: D 91) 8 - = - A) slope: 1 ; -intercept: - 8 B) slope: ; -intercept: 8 C) slope: 8; -intercept: - D) slope: 8; -intercept: Answer: D 9) = 0 A) slope: ; -intercept: 3 B) slope: ; -intercept -3 C) slope: 3; -intercept: - D) slope: -3; -intercept: Answer: B 139

140 The graph of a linear function f is shown. Identif the slope, -intercept, and -intercept. 93) A) ; 3, - B) 1 ; 3, - C) 1 ; -, 3 D) ; -, 3 Answer: B 9) A) 1 ;, - 3 B) 3; -, C) 3;, - D) 1 3 ; -, Answer: B 10

141 9) A) - 1 ;, B) 1 ;, C) - 1 ;, D) -;, Answer: A The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. 9) A) = -3 + B) = 3 + C) = 3 - D) = -3 - Answer: D 11

142 97) ) A) = - + B) = - - C) = + D) = - Answer: D ` - - A) = B) = C) = - D) = - Answer: C 1

143 99) A) = B) = 3-3 C) = D) = Answer: D 300) A) = B) = C) = - D) = 1 Answer: D 13

144 301) A) = 3 B) = 3 C) = -3 D) = -3 Answer: D Write an equation for the line described. Write the equation in the form specified. 30) parallel to = -, through (8, 9) A) = - B) = -9 C) = 9 D) = 8 Answer: C 303) parallel to =, through (7, ) A) = B) = 7 C) = D) = Answer: B 30) perpendicular to = 8, through (1, ) A) = 1 B) = 1 C) = D) = Answer: A 30) perpendicular to = -3, through (, ) A) = B) = C) = D) = Answer: B 1

145 30) parallel to + 8 =, through (3, ); slope-intercept form A) = B) = C) = D) = 8-8 Answer: C 307) perpendicular to - + =, through (, ); slope-intercept form A) = B) = C) = D) = 1 - Answer: A 308) parallel to - = 17, through (, -3); slope-intercept form A) = - 17 B) = - 7 C) = - 1 D) = Answer: B 309) parallel to = -; through (, -); standard form A) 9-7 = -17 B) = - C) + 7 = - D) = -17 Answer: D 3) perpendicular to = 8, through (-8, -); slope-intercept form A) = B) = C) = D) = Answer: B 1

146 311) perpendicular to 7-8 = 71, through (9, 1); standard form A) = 71 B) 8-7 = 79 C) = 7 D) = 79 Answer: D Solve the problem. Write all linear equations in slope-intercept form. 31) A house was purchased for $,000. After ears the value of the house was $111,000. Find a linear equation that models the value of the house after ears. A) = 9000 B) = +,000 C) = ,000 D) = 111,000 Answer: C 313) A compan can make 1 airplane engines for $7,000, while 19 airplane engines cost $77,00. Find a linear equation that models the cost to produce airplane engines. A) = B) = ,000 C) = 00-8,000 D) = Answer: B 31) In a lab eperiment 1 grams of acid were produced in 7 minutes and 0 grams in 0 minutes. Find a linear equation that models the number of grams produced in minutes. A) = B) = C) = D) = + 1 Answer: A 31) A biologist recorded snakes on 8 acres in one area and snakes on 3 acres in another area. Find a linear equation that models the number of snakes in acres. A) = 7 - B) = + C) = 7-1 D) = 7 + Answer: A 1

147 31) With 9.% commitment, a compan can clean up % of an energ leak. With 31.% commitment, it can clean up 1% of an energ leak. Find a linear equation that models the percent cleanup for percent commitment. A) = B) = C) = + 1 D) = + 1 Answer: B 317) Suppose that a sales person observes that if an item is priced at $9 per item then items are sold. If items are sold for $11 per item then find a linear equation to model the number of items sold for dollars per item. Find the slope-intercept form of the equation of the line. A) = B) = - 3 C) = D) = + 1 Answer: A 318) A driver wants to gauge the fuel efficienc of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of mph results in a rating of 0 mpg, whereas at an average speed of 0 mph, her car rates 30 mpg. Find a linear equation to model the gas mileage for an average speed of mph. Find the slope-intercept form of the equation of the line. A) = B) = C) = D) = Answer: A 319) The table lists the average annual cost (in dollars) of room and board at public four-ear colleges in the cit of Bookhaven for selected ears. PUBLIC FOUR-YEAR COLLEGE ROOM AND BOARD Year Room and Board (in dollars) Determine a linear function f defined b f() = m + b that models the data using (1, 10) and (, 0). A) f() = B) f() = 10 C) f() = D) f() = Answer: C 17

148 30) The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container. A flame in 78 ml container takes 1 seconds to go out and a flame in a 10 ml container takes seconds. Write a linear function that relates t to. A) t = 1 B) t = 1-3 C) t = - 3 D) t = Answer: B 31) B reading a graph on defense spending in the countr of Warpeas, ou discover that in ear 0 the countr spent $17 million on defense and in ear 8 spent $8 million. Write a linear function that relates (in millions of dollars) to. A) = B) = + 17 C) = D) = Answer: B Use a graphing calculator to solve the linear equation. 3) = A) all real numbers B) C) {} D) {-7} Answer: B 33) (z - ) = 7(z + ) A) {} B) {} C) {} D) {-} Answer: A 3) = A) {-7} B) {-70} C) {70} D) {7} Answer: D 3) - + 7(- - 3) = -3 - A) {-1} B) {1} C) {} D) {0} Answer: B 18

149 3) (-9-7) - = -8( + 8) A) {19} B) {- 3} C) {- 1} D) {3} Answer: D 37) Rewrite the equation so that one side is 0, then replace 0 with. The graph of the equation for is shown. Use the graph to determine the solution of the equation = A) = + ; - B) = + ; 0 C) = + ; 0 D) = + ; - Answer: A - 38) The graph of 1 is shown in the standard viewing window. Which is the onl choice that could possibl be the solution of the equation 1 = 0? -,, 1 3, 1 A) 1 3 B) - C) D) 1 Answer: D 19

150 39) The graph of 1 is shown in the standard viewing window. Which is the onl choice that could possibl be the solution of the equation 1 = 0? -1, - 13, 3, 1 A) 3 B) 1 C) - 13 D) -1 Answer: D 330) The graph of 1 is shown in the standard viewing window. Which is the onl choice that could possibl be the solution of the equation 1 = 0? -90, - 91, 91,8 A) - 91 B) 8 C) 91 D) -90 Answer: D 10

151 331) The graph of 1 is shown in the standard viewing window. Which is the onl choice that could possibl be the solution of the equation 1 = 0? -30, - 31, 31, 30 A) 30 B) - 31 C) -30 D) 31 Answer: A 33) The graph of 1 is shown in the standard viewing window. Which is the onl choice that could possibl be the solution of the equation 1 = 0? -1, -7, - 13, 1 A) -1 B) - 13 C) -7 D) 1 Answer: A Determine whether the three points are collinear. 333) (, -), (3, -8), (1, 0) A) Yes B) No Answer: A 11

152 33) (9, ), (7, ), (1, 1) A) Yes B) No Answer: B 33) (-, -11), (3, ), (9, 17) A) Yes B) No Answer: A 33) (, -), (-1, ), (1, 1) A) Yes B) No Answer: B 1

153 Refer to the following graphs to determine an appropriate response. Graph A Graph B Graph C 3 Graph D ) Which one is the graph of =? What is it's domain? A) graph A; (-, ) B) graph B; [0, ) C) graph C; {-, -1, 0, 1, } D) graph D; [0, ) Answer: D 338) Which one is the graph of = [[]]? What is the value of when = -0.? A) graph D; -1 B) graph A; 0. C) graph C; -1 D) graph B; 0. Answer: C 13

154 339) Which one is the graph of = 3? What is its range? A) graph A; (-, ) B) graph C; [-, ] C) graph B; (-, ) D) graph D; [0, ) Answer: A 30) Which is not the graph of a function? What is its equation? A) graph B; = B) graph A; = C) graph D; = [[]] D) graph C; = Answer: A 31) Which one is discontinuous over its domain? What is its range? A) graph C; {-, -1, 0, 1, } B) graph B; [0, ) C) graph C; (-, ) D) graph B; (-, ) Answer: A 3) Which graphs of functions increase over the whole of their domain? A) graphs C and D B) graphs A and B C) graphs A and D D) graph D Answer: C Determine the intervals of the domain over which the function is continuous. 33) P(1, 0) P A) (-, 1) (1, ) B) (-, 1] [1, ) C) (-, ) D) (-, 0) (0, ) Answer: A 1

155 3) (0, ) A) (, ) B) (-, ] C) (-, ) D) [0, ) Answer: C 3) (1, 0) A) (-, 1) (1, ) B) (-, 0) (0, ) C) (-, 1] [1, ) D) (-, ) Answer: A 1

156 3) (-3, -) A) (-, ) B) [-3, ) C) (-, -3) (-3, ) D) [-, ) Answer: B 37) (-3, 9) A) (-, ) B) (-, 9) (9, ) C) [0, ] D) (-, -3) (-3, ) Answer: D 1

157 38) (, -1) A) (-, ) B) (-, ) (, ) C) (-, -1) (-1, ) D) [, ) Answer: A Find the requested value. 39) f(-) for f() = A) 3 B) -1 C) -9 D) 1 Answer: B, if -1-3, if > -1 30) f(8) for f() = A) 8 B) 7 C) -9 D) 8 Answer: D 31) f() for f() = A) 3 B) 1 C) -30 D) 3 Answer: D 7 +, if 0 7-7, if 0 < < 7, if 7 + 1, if < 1, if -, if > 17

158 3) f(-8) for f() = A) -1 B) 17 C) - D) Answer: A + 1, if < 8 8, if 8 8-7, if > Graph the function. 33) f() = 3, if 1-1 -, if < A) B)

159 C) D) Answer: C 3) f() = 9, if > 3-9, if

160 A) B) C)

161 D) Answer: C 3) f() = -, if > 0 3, if A)

162 B) C) D) Answer: A 1

163 3) f() = +, if < 0 - if A) B) C)

164 D) - - Answer: B 37) f() = - 9, if < -1 0, if , if > A)