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- 1. Multiple Choice
What is the X-Intercept?x= 0x= 4x= 5x= -5 - 2. Multiple ChoiceWhat are the x-intercepts?x= 2/3x= 4, x = -2x= -8, x = 1x= -4, x = 2
- 3. Multiple ChoiceWhat are the asymptotes?x=1, x= 2, y =1, y= 2x= 2, x=-2, y = 1x=2 y =-1x=1 y =2, y =-2
- 4. Multiple ChoiceWhat is the horizontal asymptote to this function?y=4y=0y=-2y=1
- 5. Multiple Choice
What (if any) holes exist?
x=2
x=2 and x=3
x=-3
x=3
- 6. Multiple ChoiceWhat is/are the vertical asymptote(s)?x=-2x=2 and x=3x=-3x=3
- 7. Multiple ChoiceWhat is the horizontal asymptote?y = -4y = 1x = 1y = -6
- 8. Multiple Choice
Factor and cancel out in order to simplify.
1/(n-7)
n-7
(n-6)/(n-7)
n-6
- 9. Multiple Choice
Simplify the rational function
1/(x + 5)
1/(x - 5)
(x - 5)(x + 5)
(x - 5)/[(x - 5)(x + 5)]
- 10. Multiple Choice
Simplify (look for common factors that you can factor out and cancel out)
A.4x³/(x+2)
B.4x³/(x+10)
C.2x³/(5x+1)
D. 2x³/(x+5)
- 11. Multiple ChoiceSimplify(n-2)/(n+2)(n+2)/(n-2)1/(n+2)1/(n-2)
- 12. Multiple ChoiceWhich asymptote(s) are determined by looking at the denominator?verticalhorizontalend behaviornone
- 13. Multiple ChoiceWhat are the asymptotes?x=-1 y = -3x=1 y = -3x=-1 y =3x=1, y=3
- 14. Multiple Choice
Find the coordinates of the hole.
(-3, -3)
(-3, 3)
(3, -3)
(3, 3)
- 15. Multiple Choice
What is the domain?
All real numbers
All real numbers except 4
All real numbers except 2
All real numbers except 2 and -2
- 16. Multiple Choice
Is there a hole or a vertical asymptote?
A hole when x = 2
A vertical asymptote at x = 2
there is no hole or vertical asymptote
- 17. Multiple Choice
Match the graph to the correct rational equation below.
f(x)=x2/(x2+x-12)
f(x)=4x2/(x2-x-12)
f(x)=(2x2-2)/2x2
f(x)=x/(x2+x-12)
- 18. Multiple Choice
What is the end behavior as x approaches negative infinity?
y approaches negative infinity
y approaches positive infinity
y approaches 1
y approaches 2
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