Part 1
 Test 3
 Time: 1 hour

 Solve the following equation for x:
Answer: , and
.
 Solve the following inequality for x:
Answer: The set of values x<5.
 Given the two points (1,8) and (3,4), find the following:
 The distance between the two points.
Answer: The distance is .
 The midpoint of the two points.
Answer: The midpoint is (1,2).
 An equation of the line containing the two points.
Answer: An equation of the line is y=3x+5.
 An equation of the circle whose diameter is the line between
the two points.
Answer: The circle is the locus of the points described by
 Concerning the following graph of f(x),
 Approximate the interval(s) where the function is increasing.
Answer: The function is always increasing, thus, the increasing
interval is .
 Approximate the interval(s) where the function is decreasing.
Answer: The function is never decreasing.
 Approximate the relative maximum value of the function.
Answer: Since the function is always increasing, there is no
maximum value.
 Approximate the relative minimum value of the function.
Answer: There is no minimum value of the function.
 Concerning the graph of f(x) in Problem 4, sketch the following:
 f(x).
Answer:
 f(x)+3.
Answer:
 f(x4)6.
Answer:
 Given the functions and
,
 Find (f+g)(x).
Answer:
 Find .
Answer:
 Find .
Answer: f(g(x))=x3.
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Tue Jun 24 15:37:09 MDT 1997
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