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Directions: The following questions pertain to graphs of rational functions.
Do not use your graphing calculator, unless instructed to do so.
1. |
At what x-value location(s) would you find vertical asymptotes for the function ? |
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2. |
Given the function :
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a) What is the x-intercept of this graph?
Choose:
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b) What is the equation of the vertical asymptote?
Choose:
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3. |
Given the graph shown at the right in a 10 x10 viewing window. Which of the following equations could have possibly been used to produce this graph?
(Do not use your graphing calculator!) |
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Choose:
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4. |
Which of the following functions has x = 0 as a vertical asymptote?
(Do not use your graphing calculator!)
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5. |
The characteristics of the following function are that its zeros are at x = -1 and x = 3 and its vertical asymptote is at x = 0.
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6. |
Which of these functions has no vertical asymptotes?
(Check this one out on your graphing calculator.)
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7. |
Given the graph of shown at the right. Which of the following statements describes the behavior of the graph as x approaches positive infinity? |
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8. |
Find the x-intercept for the function:
(Do not use your graphing calculator!)
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