Part 1
| Test 4
| Time: 1 hour
|
- Solve the following equation for x:
Answer:
- Solve the following inequality for x:
Answer:The values of x that make this inequality true are
included on the intervals
.
- 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).
- The equation of the line between the two points.
Answer:The equation of the line is y=-3x+5.
- The 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 increasing approximately on the intervals
- Approximate the interval(s) where the function is decreasing.
Answer: The function is decreasing approximately on the interval
.
- Approximate the relative maximum value of the function.
Answer:The relative maximum value is about 26.
- Approximate the relative minimum value of the function.
Answer:The relative minimum value is about -2.
- 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)?
Answer:The graph of -f(x) is reflected about the x-axis.
- How does the graph of f(x)+3 differ from the graph of f(x)?
Answer:The graph of f(x)+3 has a vertical
shift of 3.
- How does the graph of f(x-4)-6 differ from the graph of f(x)?
Answer:The graph of
f(x-4)-6 has a vertical
shift of -6 and a horizontal shift of 4.
- Given the functions
and
, find the following:
- Find (f+g)(x).
Answer:
- Find
.
Answer:
- Find
.
Answer:
.
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Thu Jun 26 15:01:46 MDT 1997
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