Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Identify the excluded value of each rational function.

8. f ( x ) = 3 x f open x close equals , 3 over x
9. y = 1 x − 2 y equals . fraction 1 , over x minus 2 end fraction
10. y = x x + 2 y equals . fraction x , over x plus 2 end fraction
11. h ( x ) = − 3 2 x − 6 h open x close equals . fraction negative 3 , over 2 x minus 6 end fraction

See Problems 2 and 3.

Identify the vertical and horizontal asymptotes of each graph.

12. 
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13. 
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Identify the asymptotes of the graph of each function. Then graph the function.

15. y = 3 x y equals , 3 over x
16. y = − 10 x y equals , negative 10 over x
17. f ( x ) = 1 x − 5 f open x close equals . fraction 1 , over x minus 5 end fraction
18. g ( x ) = 4 x + 4 g open x close equals . fraction 4 , over x plus 4 end fraction
19. y = 1 x − 5 y equals , 1 over x , minus 5
20. y = − 3 x + 6 y equals , negative 3 over x , plus 6
21. h ( x ) = 2 x + 1 + 4 h open x close equals . fraction 2 , over x plus 1 end fraction . plus 4
22. f ( x ) = − 1 x − 3 − 5 f open x close equals . fraction negative 1 , over x minus 3 end fraction . minus 5

See Problem 4.

23. Nutrition For lunch, you bought two veggie pizzas for you and your friends to divide evenly. Each pizza contains 960 Calories. In addition, each person eats a banana, which contains 100 Calories.
    1. Write and graph an equation that gives the number of Calories C consumed by each person as a function of the total number of people n.
    2. Approximately how many people must share the pizzas in order for each person to consume about 500 Calories?

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