## Precalculus Practice Exam

Part 1 Test 4 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.
• The equation of the line between the two points.
• The 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. Answer the following questions concerning the graph of f(x) in Problem 4:
• How does the graph of -f(x) differ from the graph of f(x)?
• How does the graph of f(x)+3 differ from the graph of f(x)?
• How does the graph of f(x-4)-6 differ from the graph of f(x)?

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