Precalculus I--Part 1--Test 5

Precalculus Practice Exam

Part 1 Test 5 Time: 1 hour

Given the two points (6,-7) and (3,4), find the following:
- The distance between the two points.
- The midpoint of the two points.
- An equation of the line between the two points.
- An equation of the circle whose diameter is the line between the two points.
On inverse functions:
- When does a function have an inverse?
- What is the relationship between the domain and range of a function and the domain and range of its inverse?
- The graphs of a function and its inverse are symmetric to what line?
- Restrict the domain of the function so that its inverse exists.
- If f(x) has an inverse, find .
Given the functions , and , find the following.
- Find (f+g)(x).
- Find (fg)(x).
- Find f(g(x)).
How do the following graphs differ from the graph of the function f(x)?
Describe the difference in words.
- f(x)+3.
- f(x-4).
- f(x+5)+6.
- -f(x).
- 2f(x).
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?
Solve the inequality

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Thu Jun 26 14:58:36 MDT 1997