Part 1 | Test 5 | Time: 1 hour |
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Answer: The distance is .
Answer: The midpoint is
.
Answer: An equation of the line is .
Answer: An equation of the circle is
Answer: A function has an inverse only when it is one-to-one,
which means that no two elements in the domain of f(x) correspond to
the same element in the range of f(x).
Answer: The domain of f(x) is the range of its inverse, and
the range of f(x) is the domain of its inverse.
Answer: They are symmetric to the line y=x.
Answer: There is more than one possible answer. The biggest intervals which will work are either ,
or .
Answer: .
Answer:
Answer:
Answer: .
Answer: It is shifted up vertically by 3 units.
Answer: It is shifted to the right by 4 units.
Answer: It is shifted up vertically by 6 units and shifted to the left by 5 units.
Answer: It is reflected across the x-axis.
Answer: f(x) is stretched vertically: all values of y are
doubled.
Answer: It is increasing on the intervals .
Answer: It is decreasing on the interval [0,2].
Answer: The inequality is only true when x=4, and when x=-5.
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