## Precalculus Practice Exam

Part 2 Test 6 Time: 1 hour

1. Find the oblique(slant) asymptote for the graph of Sketch the graph of this function.

Answer: The equation for the slant asymptote is y=x-2.

2. Find all vertical and horizontal asymptotes for the graph of Graph the function.

Answer: The vertical asymptotes are x=0, and x=6. The horizontal asymptote is y=0.

3. Find the real and complex zeros of .

4. Given that -5 is a zero of , find the other zeros.

5. Solve for

Answer: The solutions are all numbers in the interval

6. Write as a partial fraction decomposition.

7. Restrict the domain of so that its inverse exists and then find the inverse.

Answer: The intervals , or , are the biggest intervals which will work. If we restrict to the interval , the inverse function is given by

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Wed Jul 2 16:35:40 MDT 1997