004 Sample Final A, Problem 9

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Graph the function. Give equations of any asymptotes, and list any intercepts.     

What are the vertical asymptotes of ?
The vertical asymptotes are where is undefined.


Step 1:
Since , the vertical asymptotes are and .
Step 2:
The horizontal asymptote is .
Step 3:
There is no intercept since for any .
Plugging in , we get . So, the intercept is (0,3)
Final Answer:
The vertical asymptotes are and . The horizontal asymptote is . There is no intercept and the intercept is (0,3).

4 Sample Final 9.png

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