Chapter 2 Functions and Their Graphs

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1 Precalculus 0th Edition Sullivan SOLUTIONS MANUAL Full download at: Precalculus 0th Edition Sullivan TEST BANK Full download at: (, 3) Chapter Functions and Their Graphs. True 3. False; if the domain is not specified, we assume it is the largest set of real numbers for which the value of f is a real number.. 3( ) 5 ( ) + 3 (4) 5 ( ) ( ) or or.5 3. We must not allow the denominator to be ; Domain: { 4} > 5 > < Solution set: { < } or (, ) 4. False; the domain of 5. a 6. c 8. [0, 5] f ( ) 4 is { 0}. We need the intersection of the intervals [0, 7] and [, 5]. That is, domain of f domain of g. f radicals 7. independent; dependent

2 7. d 8. a 9. Function Domain: {Elvis, Colleen, Kaleigh, Marissa} Range: {Jan. 8, Mar. 5, Sept. 7} 0. Not a function. Not a function. Function Domain: {Less than 9 th grade, 9 th - th grade, High School Graduate, Some College, College Graduate} Range: {$8,0, $3,5, $36,055, $45,80, $67,65} 3. Not a function 4. Function Domain: {,, 3, 4} 9. ; f; g 0. ( g f ) ( ) or g ( ) f ( ) g f + g Range: {3, 5, 7, } 5. Function Domain: {,, 3, 4} Range: {3} 6. Function Domain: {0,,, 3} Range: {, 3, 7} 7. Not a function. False; every function is a relation, but not every relation is a function. For eample, the relation + y is not a function. 8. Not a function 60 Copyright 06 Pearson Education, Inc.

3 Chapter : Functions and Their Graphs Section.: Functions 9. Function Domain: {,, 0, } Range: {0,, 4} 30. Function Domain: {,, 0, } Range: {3, 4, 6} 37. y Solve for y : y ± For, y ±. Thus, (, ) and (, ) are on the graph. This is not a function, since a distinct -value corresponds to two different y-values. 3. Graph y The graph passes the y vertical line test. Thus, the equation represents a function. Solve for y : y ± For 0, y ±. Thus, (0, ) and (0, ) are on the graph. This is not a function, since a distinct - value corresponds to two different y-values. 39. Graph y. The graph passes the vertical line 3. Graph y 3. The graph passes the vertical line test. Thus, the equation represents a function. test. Thus, the equation represents a function. 40. Graph y 3. The graph passes the vertical Graph y. The graph passes the vertical line line test. Thus, the equation represents a function. test. Thus, the equation represents a function. 34. Graph y. The graph passes the vertical line test. Thus, the equation represents a function. 35. y y Solve for y: + 3 y 3 y y 3 y ± 3 For 0, y ±. Thus, 0, and Solve for y : y ± For 0, y ±. Thus, (0, ) and (0, ) are on 0, are on the graph. This is not a

4 Chapter : Functions and Their Graphs Section.: Functions the graph. This is not a function, since a distinct value corresponds to two different y-values. y ± For 0, y ±. Thus, (0, ) and (0, ) are on the graph. This is not a function, since a distinct - value corresponds to two different y-values. function, since a distinct -value corresponds to two different y-values.

5 Chapter : Functions and Their Graphs Section.: Functions 4. 4 y Solve for y: 4 y 4 y y 4 e. f ( ) ( + ) + f. f ( + ) ( + ) + ( + ) ( + + ) y ± 3 g. f ( ) ( ) + ( ) 8 + For, y ±. Thus,, and h. f ( + h ) ( + h) + ( + h ), are on the graph. This is not a ( + h + h ) + + h 43. function, since a distinct -value corresponds to two different y-values. f ( ) f ( ) + 4h h + + h a. f (0) 3 (0) + (0) a. f (0) b. f () 3() + () b. f () c. f ( ) 3 ( ) + ( ) d. f ( ) 3 ( ) + ( ) c. f ( ) e. f ( ) (3 + 4) f. f ( + ) 3 ( + ) + ( + ) 4 ( ) + + d. f ( ) ( ) ( + + ) e. f ( ) f. f ( + ) + g. f ( ) 3 ( ) + ( ) ( + ) + h. f ( + h ) 3 ( + h ) + ( + h ) 4 3 ( + h + h ) + + h 4

6 Chapter : Functions and Their Graphs Section.: Functions 3 + 6h + 3h + + h g. f ( ) 44. f ( ) + ( ) a. f (0) (0) + 0 h. f ( + h ) ( + h ) + + h + h + b. f () () + c. f ( ) ( ) + ( ) 4 d. f ( ) ( ) + ( ) + h + h

7 Chapter : Functions and Their Graphs Section.: Functions 46. f ( ) f ( ) + a. f (0) a. f (0) b. f () + 0 b. f () c. f ( ) ( ) + ( ) 0 0 ( ) 0 c. f ( ) d. f ( ) ( ) + 4 e. f ( ) + 4 f. f ( + ) ( + ) ( + ) d. f ( ) ( ) + ( ) e. f ( ) ( + ) + f. f ( + ) ( + ) + ( + ) g. f ( ) ( ) h. f ( + h ) ( + h ) + ( + h ) + h + h + + h ( ) 4 g. f ( ) f ( ) h h. f ( + h ) ( ) + h + h ( 0) a. f (0) ( + h ) h (0) f ( ) + 4 () b. f () a. f (0) b. f () f 3 () ( ) + + c. ( ) 3 ( ) c. f ( ) d. f ( ) + 3 d. f ( ) ( ) ( ) e. f ( ) (

8 Chapter : Functions and Their Graphs + 4) 4 e. f ( ) + f. f ( + ) g. f ( ) h. f ( + h ) + h + 4 Section.: Functions ( + ) f. f ( + ) 3 ( + ) ( ) g. f ( ) 3 ( ) ( + h ) + + h + h. f ( + h ) 3 ( + h ) h 5

9 Chapter : Functions and Their Graphs Section.: Functions 50. f ( ) a. f (0) b. f () c. f ( ) d. f ( ) ( + ) 56. h( ) 4 3 (0 + ) ( + ) 9 9 ( + ) ( + ) ± Domain: {, } 57. F ( ) ( + ) 0 0, Domain: { 0} e. f ( ) + 4 f. f ( + ) ( + ) ( + ) 58. G( ) g. f ( ) ( + + ) ( + 3) ( 4) 0 ( + ) 4 ( + ) h. f ( + h ) ( + h + ) 0, 4 0, ± Domain: {, 0, } 59. h( ) f ( ) Domain: { is any real number} f ( ) Domain: { 4} 53. Domain: { is any real number} 60. G( ) f ( ) + Domain: { is any real number} 0 Domain: { } 54. f ( ) + 6. p( )

10 Chapter : Functions and Their Graphs Section.: Functions Domain: { is any real number} > 0 > 55.

11 Chapter : Functions and Their Graphs g ( ) Domain: { 4, 4} Domain: { > } 6 ±4 Section.: Functions Precalculus 0th Edition Sullivan SOLUTIONS MANUAL Full download at: Precalculus 0th Edition Sullivan TEST BANK Full download at: sullivan precalculus 0th edition answers precalculus books a la carte edition pdf sullivan precalculus 0th edition solutions manual isbn sullivan precalculus 0th edition slader sullivan precalculus 5th edition sullivan precalculus 8th edition pdf sullivan 0 edition