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Chapter. 5 Review Name ____________ Date ____________ Find the domain and range of each relation. 1. {(–3, –7), (–1, –3), (0, –1), (2, 3), (4, 7)} 2. {(–5, –4), (–4, 2), (0, 2), (1, 3), (2, 4)} Domain Domain Range Range Do the Mapping Diagrams represent Functions? 3. 4. Evaluate each function rule for x = -2 5. ƒ(x) = 4x – 2 6. ƒ(x) = –2x + 1 7. g(x) = – x + 3 8. h(x) = x2 – 3 Find the range of each function for the given domain. 9. ƒ(x) = –3x + 1; {–2, –1, 0} 10. Range:______________________ ƒ(x) = x2 + x – 2; {–2, 0, 1} Range:_________________________ Model each rule with a table of values and a graph. 11. ƒ(x) = x + 1 12. ƒ(x) = 3x – 2 13. ƒ(x) = x2 + 1 14. The admission to a fairgrounds is $3.00 per vehicle plus $.50 per passenger. The total admission is a function of the number of passengers. a. Use the rule T(n) = 3 + 0.50n to make a table of values and then a graph. b. What is the admission for a car with six people in it? c. Should the points of the graph be connected by a line? Explain. Graph each function. 15. ƒ(x) = 4x + 2 16. ƒ(x) = 2x 17. ƒ(x) = x2 – 2x + 1 Use the vertical line test to determine if the graph a function. 18. ____________________ 19. __________________ Determine whether each relation is a function. 20) 21) 22) x y x y x y 0 1 0 -2 2 -3 1 2 2 0 -1 -3 2 3 2 -4 0 -3 3 4 4 2 5 -3 Yes / No Yes / No Yes / No Find the range of each function when the domain is (-2, -1, 0, 1, 2) 23) f(x) = x2 + 5 24) f(x) = -3x - 2 ( ) ( ) Model each rule with a table of values and a graph. 26) f(x) = x 2 + 3 25) f(x) = x - 3 x x 6 y 6 y 5 5 -2 -2 4 -1 -1 2 -6 -5 -4 -3 -2 -1 1 2 -1 2 1 0 1 0 4 3 3 1 2 3 4 5 6 -2 -6 -5 -4 -3 -2 -1 1 2 -1 1 2 3 4 5 6 -2 -3 -3 -4 -4 -5 -5 -6 -6 Write a function rule to describe each statement: 27) The total cost of grapes if each pound costs $1.29. ____________________ 28) The amount of money you can make cutting grass if you receive $12.00 per yard. ____________________ Write a function for each table of values. 29) 30) X y 2 6 3 8 4 10 5 12 __________________ x y -4 8 -2 4 0 0 2 -4 4 -8 ___________________