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Chapters 1–3 Cumulative Review Exercises 291 49. State the domain and range of each relation. Determine if each relation is a function. (Section 3.6, Objectives 1–3) a. The following table shows the average number of paid vacation days per year employees receive in nine countries. (Source: http://www.infoplease.com) Countries Average Number of Paid Vacation Days per Year Italy 42 France 37 Germany 35 Brazil 34 United Kingdom 28 Canada 26 Korea 25 Japan 25 United States 13 b. The following table shows the green score for the “greenest” vehicles in 2010. (Source: http://www .infoplease.com) Greenest Vehicles Green Score 1. Honda Civic CX 57 2. Toyota Prius 52 3. Honda Civic Hybrid 51 4. Smart For Two Convertible/ 50 Coupe 5. Honda Insight 50 6. Ford Fusion Hybrid/ 47 Mercury Milan Hybrid 7. Toyota Yaris 46 8. Nissan Altima Hybrid 46 9. Mini Cooper 45 10. Chevrolet Cobalt XFE/ Pontiac G5 XFE 45 c. {(-3, 4), (-3, 1), (0, 9), (-5, 1), (2, 4)} d. x = 6 e. y = 3x + 4 50. Find the requested information. (Section 3.6, Objective 4) a. Find f (0) if f (x) = 5x - 2. b. Find g(-5) if g(x) = -3x2 - x + 7. c. Find f (2) and f (5) if f (x) is given by the following graph. 2 2 4 4 –2 –4 x y d. Find g(-1) and find x such that g(x) = 3.5 if the function g(x) is given by Y1. 51. Write each linear equation in two variables in function notation. Then find f (0), f (3), and f (-2) and write the corresponding ordered pairs. (Section 3.6, Objective 4) a. 4x + y = 3 b. y = 0.3x - 0.6 c. y = u3x - 2u 52. Beva has a new job as a chemistry instructor at a local community college. Her starting salary is $41,500 with a regular teaching load of 30 credit hours. If she teaches beyond the regular load, she earns $950 per additional credit hour. (Section 3.6, Objective 5) a. Write a linear function f (x) that represents Beva’s yearly income, where x is the number of extra credit hours she teaches in an academic year. b. If Beva teaches two additional 4-credit-hour courses in an academic year, what is her income? c. Find f (6) and interpret the answer.


hendricks_beginning_algebra_1e_ch1_3
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