1 of 19 5/19/2018, 4:39 AM Student: Date: Instructor: Pangyen Weng Course: MATH 115-51 Summer 2018 Assignment: HW 2A 1. Find the length of the third side of the right triangle. 9 c 12 The length of the third side is. (Simplify your answer. Type an exact answer, using radicals as needed.) 2. Find the third length of the right triangle. Give an exact answer and an approximation. c 2 2 The exact length of the side is. (Simplify your answer. Type an exact answer, using radicals as needed.) An approximation of the side is. (Simplify your answer. Type an integer or decimal rounded to the nearest thousandth as needed.) 3. Find the length of the third side of the right triangle. 5 13 b The length of the third side is. (Simplify your answer. Type an exact answer, using radicals as needed.) 4. In a right triangle, find the length of the side not given. a a = 9, c = 15 c b The length of the third side is. (Simplify your answer. Type an exact answer, using radicals as needed.)

2 of 19 5/19/2018, 4:39 AM 5. State the coordinates of the points graphed in the figure below. A B C D E F (Type an ordered pair.) (Type an ordered pair.) (Type an ordered pair.) (Type an ordered pair.) (Type an ordered pair.) (Type an ordered pair.) 6. Plot ( 6, 6) on the coordinate axes. Plot ( 6, 6). 7. Plot ( 5, 3) on the coordinate axes. Plot ( 5, 3).

3 of 19 5/19/2018, 4:39 AM 8. Express the data pictured in the graph as ordered pairs, letting the first coordinate represent the year and the second coordinate the amount. What is the ordered pair for the first bar on the graph? (,$ billion) What is the ordered pair for the middle bar on the graph? (,$ billion) What is the ordered pair for the right bar on the graph? (,$ billion) 9. Determine whether ( 9, 15) is a solution of y = 17x + 7. Is the point ( 9, 15 ) a solution of the equation y = 17 x + 7? 10. Use substitution to determine whether the given ordered pairs are solutions of the given equation. 4 5, 3 4, 1, 3 ; 6x 4 y = 3 2 Is 4 5, 3 4 a solution? Is 1, 3 2 a solution?

4 of 19 5/19/2018, 4:39 AM 11. Use substitution to determine whether the given ordered pairs are solutions of the given equation. 2 3, 4 5, 0, 1 ; 3 a + 5 b = 1 5 Is the ordered pair 2 a solution of the equation a b? Select the correct choice below and, if necessary, fill 3, 4 3 + 5 = 1 5 in the answer box to complete your choice. A. because after substituting for a and b, it gives the result 1 = 1. B. because after substituting for a and b, it gives the result 1. (Type an integer or a simplified fraction.) Is the ordered pair 0, 1 a solution of the equation 3 a + 5 b = 1? Select the correct choice below and, if necessary, fill in 5 the answer box to complete your choice. A. because after substituting for a and b, it gives the result 1. (Type an integer or a simplified fraction.) B. because after substituting for a and b, it gives the result 1 = 1. 12. Use substitution to determine whether the given ordered pairs are solutions of the given equation. 2 2 ( 2.75,3.75), ( 4,5) ; x y = 41 Is ( 2.75,3.75) a solution of the given equation? Is ( 4,5) a solution of the given equation? 13. Use the intercepts to graph the equation. 8x 2 y = 16 Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

5 of 19 5/19/2018, 4:39 AM 14. Use the intercepts to graph the equation. x + 2 y = 4 Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. 15. Graph the linear equation. x y = 4 Use the graphing tool on the right to graph the line. 16. Find the distance between the points. Give an exact answer and an approximation to three decimal places. ( 2, 6) and ( 8, 4) The exact distance is. (Simplify your answer. Type an exact answer, using radicals as needed.) The approximate distance is. (Round to the nearest thousandth as needed.) 17. Find the distance between the two points. ( 4, 9) and ( 24, 6) The distance is. (Type an exact answer, using radicals as needed.) 18. Find the distance between the points. Give an exact answer and an approximation to three decimal places. ( 1, 0) and ( 9, 10) The exact distance is. (Simplify your answer. Type an exact answer, using radicals as needed.) The approximate distance is. (Round to the nearest thousandth as needed.)

6 of 19 5/19/2018, 4:39 AM 19. Determine whether the correspondence is a function. Is this correspondence a function? DOMAIN b c a d RANGE v z w x 20. Determine whether the correspondence is a function. Domain 16 6 3 Range 8 20 Is this correspondence a function? 21. Determine whether the correspondence is a function. Is this correspondence a function? Domain e y g z Range Z V U W X 22. Determine whether the following correspondence is a function. Firm Number of Partners Jagger & Richards 700 Peter Young & Co. 780 Staley & Cantrell 625 Crawford & Pierce 780 Haskins & Sellers 500 Coopers & Lybrand 625 Is the correspondence a function?

7 of 19 5/19/2018, 4:39 AM 23. Determine if the correspondence is a function. Domain Correspondence Range a set of numbers subtract 5 from each number a set of numbers Is this correspondence a function? 24. Determine if the correspondence is a function. Domain Correspondence Range a set of books the first publication date of each book a set of dates Is this correspondence a function? 25. Determine if the relation is a function. Domain: each person in a family Correspondence: each person's son Range: a set of sons Is this relationship a function? 26. Determine whether the relation is a function. Identify the domain and the range. {(2,6), (6,18), (7,21)} Is the relation a function? The domain is. (Use commas to separate answers. Type each answer only once.) The range is. (Use commas to separate answers. Type each answer only once.)

8 of 19 5/19/2018, 4:39 AM 27. Determine the domain and the range of the relation, and tell whether the relation is a function. {( 12, 9), ( 30, 5), ( 37, 9), ( 12, 2), ( 54, 2)} The domain is { }. (Use a comma to separate answers as needed. Type each answer only once.) The range is { }. (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? 28. Determine whether the relation is a function. Identify the domain and the range. {( 3, 1),( 5, 1),( 2, 1),( 9, 1),( 4, 1)} Is the relation a function? The domain is { }. (Use commas to separate answers. Type each answer only once.) The range is { }. (Use commas to separate answers. Type each answer only once.)

W 2A-Pangyen Weng of 19 5/19/2018, 4:39 AM 29. Given that 2 g(x) = 3x 5x + 25, find each of the following. a) g(0) b) g( 2) c) g( 2) d) g( x) e) g(1 t) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(0) = B. The value g(0) does not exist. b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 2 ) = B. The value g( 2) does not exist. c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 2 ) = B. The value g( 2) does not exist. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( x) = B. The value g( x) does not exist. e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(1 t) = B. The value g(1 t) does not exist.

W 2A-Pangyen Weng 0 of 19 5/19/2018, 4:39 AM 30. Given that g(x) = x 3, find each of the following. a) g(3) b) g( 1) c) g( x) d) g(3y) e) g(1 + h) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(3) = B. The value g(3) does not exist. b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 1) = B. The value g( 1) does not exist. c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( x) = B. The value g( x) does not exist. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(3y) = B. The value g(3y) does not exist. e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(1 + h) = B. The value g(1 + h) does not exist.

W 2A-Pangyen Weng 1 of 19 5/19/2018, 4:39 AM 31. Given that g(x) = x 2, find each of the following. x + 9 a) g( 9) b) g( 2) c) g( 9) d) g( 10.25) e) g(x + h) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 9 ) = B. The value g( 9) does not exist. b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 2 ) = B. The value g( 2) does not exist. c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 9 ) = B. The value g( 9) does not exist. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 10.25 ) = (Type an integer or decimal rounded to three decimal places as needed.) B. The value g( 10.25) does not exist. e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(x + h) = B. The value g(x + h) does not exist.

12 of 19 5/19/2018, 4:39 AM 32. Find g(0), g( 1), g( 4), and g 3 x for g(x) =. 4 1 x 2 Find g(0). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g(0) = (Simplify your answer. Type an exact answer, using radicals as needed.) B. The value g(0) does not exist. Find g( 1). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 1 ) = (Simplify your answer. Type an exact answer, using radicals as needed.) B. The value g( 1) does not exist. Find g( 4). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. g( 4 ) = (Simplify your answer. Type an exact answer, using radicals as needed.) B. The value g( 4) does not exist. Find g 3 4. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. B. g 3 4 = (Simplify your answer. Type an exact answer, using radicals as needed.) The value g 3 does not exist. 4 33. The graph of the function h(x) is shown. Find the function values h( 1), h( 3), and h( 4). h( 1 ) = h( 3 ) = h( 4 ) =

13 of 19 5/19/2018, 4:39 AM 34. A graph of a function is shown to the right. Using the graph, find the following function values; that is, given the inputs, find the outputs. f( 6) f(0) f( 3) f( 6 ) = f(0) = f( 3 ) = 35. Determine if a graph is a function. Is this the graph of a function? 36. Determine if the graph is a function. Using the vertical line test, is this the graph of a function? 37. Find the domain. p(x) = 2x 3 Choose the correct domain below. A. (,2) (2, ) B. (, ) C. (0, ) D. (,0) (0, )

14 of 19 5/19/2018, 4:39 AM 38. Find the domain of the function. Do not use a graphing calculator. f(x) = 7 x Choose the correct domain below. A. {x x < 7} B. All real numbers C. {x x 7} D. {x x > 0} E. {x x 0 and x 7} F. {x x 0} 39. Find the domain of the function. f(x) = x + 3 6 x The domain of the function is. (Type your answer in interval notation.) 40. Watch the video and then solve the problem given below. Click here to watch the video. 1 Determine whether the correspondence is a function. Is this correspondence a function? Domain g y x f Range W X Y Z U 1: http://mediaplayer.pearsoncmg.com/assets/kxgt95nodfjdyl2w1ul89mi2tiwik_iz

15 of 19 5/19/2018, 4:39 AM 1. 15 2. 2 2 2.828 3. 12 4. 12 5. (4,3) ( 5, 5) ( 5,0) (2, 5) ( 2,6) (0,5) 6. 7.

16 of 19 5/19/2018, 4:39 AM 8. 2002 14 2003 23 2004 32 9. 10. 11. B. because after substituting for a and b, it gives the result 6 1. (Type an integer or a simplified fraction.) B. because after substituting for a and b, it gives the result 1 = 1. 12. 13.

17 of 19 5/19/2018, 4:39 AM 14. 15. 16. 2 26 10.198 17. 25 18. 2 41 12.806 19. 20. 21. 22.

18 of 19 5/19/2018, 4:39 AM 23. 24. 25. 26. 2,6,7 6,18,21 27. 12,30,37,54 9, 5,2 28. 3,5,2,9, 4 1 29. A. g(0) = 25 A. g( 2 ) = 47 A. g( 2 ) = 27 2 A. g( x) = 3x + 5x + 25 2 A. g(1 t) = 3t t + 23 30. A. g(3) = 27 A. g( 1) = 1 A. g( x) = x 3 A. g(3y) = 27y 3 3 2 A. g(1 + h) = h + 3h + 3h + 1

19 of 19 5/19/2018, 4:39 AM 7 31. A. g( 9 ) = 18 A. g( 2 ) = 0 B. The value g( 9) does not exist. A. g( 10.25 ) = 9.800 (Type an integer or decimal rounded to three decimal places as needed.) x + h 2 A. g(x + h) = x + h + 9 32. A. g(0) = 0 (Simplify your answer. Type an exact answer, using radicals as needed.) B. The value g( 1) does not exist. B. The value g( 4) does not exist. A. g 3 4 = 3 7 7 (Simplify your answer. Type an exact answer, using radicals as needed.) 33. 2 2 1 34. 2 2 0 35. 36. 37. B. (, ) 38. B. All real numbers 39. (,6) (6, ) 40.