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(x4).
 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
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