## Precalculus Practice Exam

Part 1 Test 3 Time: 1 hour

1. Solve the following equation for x:

2. Solve the following inequality for x:

3. Given the two points (-1,8) and (3,-4), find the following:
• The distance between the two points.
• The midpoint of the two points.
• An equation of the line containing the two points.
• An equation of the circle whose diameter is the line between the two points.

4. Concerning the following graph of f(x),

• Approximate the interval(s) where the function is increasing.
• Approximate the interval(s) where the function is decreasing.
• Approximate the relative maximum value of the function.
• Approximate the relative minimum value of the function.

5. Concerning the graph of f(x) in Problem 4, sketch the following:
• -f(x).
• f(x)+3.
• f(x-4)-6.

6. Given the functions and ,
• Find (f+g)(x).
• Find .
• Find .

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Tue Jun 24 15:31:37 MDT 1997

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