## Precalculus Practice Exam

Part 1 Test 6 Time: 1 hour

1. Concerning the function .
• Sketch the function.

• On what interval is ?

Answer: The function is less or equal than zero on the interval [3,9].

2. Find the midpoint between the points (3,7) and (-6,1).

3. Find x so that the distance between the points (6,-1) and (x,9) is 12.

Answer: When , or , the distance is 12.

4. Find the center and radius of the circle defined by the equation

Answer: The center of the circle is (3,-1), and the radius is 4.

5. Given , and , find .

6. Find the domain of the function .

Answer: The domain of the function is .

7. Determine whether the function is one-to-one. If it is, find its inverse. If not, explain why there is no inverse.

Answer: The function is one-to-one. The inverse of the function f(x) is the same as f(x).

8. Find the slope of the line passing through the points (3,7), and (-1,2).

Answer: The slope of the line is .

9. Given , find .

10. Is the function odd, even or neither?

Answer: The function f(x) is an even function.

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Wed Jul 2 16:56:49 MDT 1997