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 .

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Thu Jun 26 14:54:53 MDT 1997

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