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WorksheetsRational Functions Review - 8th
Total questions: 25
Worksheet time: 5hrs 37mins
Name
Class
Date
1.
What is the vertical asymptote?
a)
x = 2
b)
x = 7
c)
x = -2
d)
x = 5
2.
What is the horizontal asymptote to this function?
a)
y = 4
b)
y = 0
c)
y = -2
d)
y =1
3.
Find the vertical asymptote of the rational function.
a)
x=2
b)
x=3
c)
x=5/2
d)
x= -3
4.
Solve
a)
A
b)
B
c)
C
d)
D
5.
Where is the hole?
a)
(2, -4)
b)
(3, 1)
c)
none
d)
(2, 4)
6.
what is the equation that best matches the graph?
a)
A
b)
B
c)
C
d)
D
7.
Divide
a)
x+1
b)
(x-1)/x
c)
x-1
d)
x
8.
Multiply and Simplify
a)
2(x+8) / (x-2)
b)
(x-2)
c)
(x+4) / (x-6)
d)
(x-4) / (x+8)
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
What are the asymptotes?
a)
x=-1 y = -3
b)
x=1 y = -3
c)
x=-1 y =3
d)
x=1, y=3
12.
Find the horizontal asymptote.
a)
None
b)
y = 0
c)
y = -1/3
d)
y = -3
13.
Solve
2x2 + 17x + 21 = 0
2x2 + 17x + 21 = 0
a)
x= -21/2, -17
b)
x= 2/3, 16
c)
x=-7, -3/2
d)
x=15, -3/7
14.
The horizontal asymptote equals zero when:
a)
the exponents in the numerator and denominator are equal
b)
the exponents in the denominator are greater than the numerator
c)
the exponents in the numerator are greater than the denominator
d)
the numerator equals zero
15.
Which asymptote(s) are determined by looking at the denominator?
a)
vertical
b)
horizontal
c)
slant
d)
none
16.
Simplify
a)
A.(x+7)/(x-4)
b)
B.-3/4
c)
C.(x+3)/(x+4)
d)
D.(x+3)/(x-4)
17.
Solve
a)
x = 1
b)
x = -1
c)
x = 3
d)
no solution
18.
Find the vertical asymptote.
x2- 9x+20
___________
4x2 - 12x- 40
x2- 9x+20
___________
4x2 - 12x- 40
a)
y=4
b)
x=3/2
c)
x= 4
d)
x=-2
19.
Find the x-intercept.
x2+x-6
_________
x+4
x2+x-6
_________
x+4
a)
(2,0) and (3,0)
b)
(-2,0 and (-3,0)
c)
(2,0) and (-3,0)
d)
(4,0)
20.
a)
None
b)
x = -4
c)
x = 3
d)
x = 4
21.
a)
A
b)
B
c)
C
d)
D
22.
Divide and Simplify
a)
1/6
b)
x+10/ 6x+60
c)
x+8/ 6x+60
d)
(x+10)(x+8)/ 6x+60
23.
Divide and Simplify
a)
A
b)
B
c)
C
d)
D
24.
Which is the graph of the rational equation:
a)
b)
c)
d)
25.
Which is the graph of the rational equation:
a)
b)
c)
d)
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