Rational Functions Unit Test - LibertyPrecal
Rational Functions Practice name ___________________
Multiple Choice
____ 1. Which of the following has a horizontal asymptote at [pic]?
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |all of the above |
____ 2. Which function has vertical asymptotes [pic] and [pic]?
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |all of the above |
____ 3. What is the equation for the horizontal asymptote of the graph of the function shown?
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 4. What are the x-intercepts of the graph of [pic]?
|a. |–4, 5 |c. |4, –5 |
|b. |–7, 3 |d. |7, –3 |
____ 5. Which of the following functions has a hole at x = 5?
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |B and C |
Problem Solving
6. Explain how the graph of [pic] is the same and different from the graph of [pic].
7. Graph the following: [pic]
8. [pic]
9. Graph the following: [pic]
Without graphing these, find the equation that:
______10. Has a vertical asymptote at x = -3 and horizontal asymptote at y =0.
______11. Has both a vertical and horizontal asymptote but no removable
discontinuity.
______12. Has a removable discontinuity but no asymptotes.
______13. Has it all, both asymptotes and a removable discontinuity.
-----------------------
Hole __________
HA/SA__________
VA___________
Domain________________
Range_________________
x int _________________
y int _________________
Hole __________
HA/SA__________
VA___________
Domain________________
Range_________________
x int _________________
y int _________________
Hole __________
HA/SA__________
VA___________
Domain________________
Range_________________
x int _________________
y int _________________
A) y = [pic]
B) y = [pic]
C) y = [pic]
D) y = [pic]
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