11-2 Rational Functions
State the excluded value for each function.
13. ANSWER: x =8
15. ANSWER: x = −6
17. ANSWER: x = −5
19. ANSWER: x = −7
21. CYCLING A cyclist rides 10 miles each morning. Her average speed y is given by
where x is the time it
takes her to ride 10 miles. Graph the function.
ANSWER: Identify the asymptotes of each function. Then graph the function.
23. ANSWER: x = 0; y = 0
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11-2 Rational Functions
Identify the asymptotes of each function. Then graph the function.
23. ANSWER: x = 0; y = 0
25. ANSWER: x = 0; y = −2
27. ANSWER: x = 2; y = 0
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ANSWER: x = 1; y = 0
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11-2 Rational Functions
29. ANSWER: x = 1; y = 0
31. ANSWER: x = 1; y = −2
33. ANSWER: x = −4; y = 3
35. CCSS STRUCTURE The graph shows a translation of the graph of y =
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.
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11-2 Rational Functions
35. CCSS STRUCTURE The graph shows a translation of the graph of y =
.
a. Describe the asymptotes.
b. Write a possible function for the graph.
ANSWER: a. x = 3 and y = 2
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