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WorksheetsRational Functions
Total questions: 20
Worksheet time: 57mins
Name
Class
Date
1.
State the vertical asymptotes:
f(x) = 2 / (2x2+3x - 5)
f(x) = 2 / (2x2+3x - 5)
a)
x = 1 , x = -5
b)
x = 1, x = -5/2
c)
x = -1/2, x = 5
d)
x = 0 , x = -5/2
2.
Find the horizontal asymptote.
4x-16
_________
x2-16
4x-16
_________
x2-16
a)
y=2
b)
y=1
c)
y=0
d)
none
3.
Find the hole of the function.
x2- 9x+20
___________
4x2 - 12x- 40
x2- 9x+20
___________
4x2 - 12x- 40
a)
x =5
b)
x=0
c)
x=4
d)
x=-2
4.
Solve
a)
A
b)
B
c)
C
d)
D
5.
What are the asymptotes
a)
x=1, x= 2, y =1, y= 2
b)
x= 2, x=-2, y = 1
c)
x=2 y =-1
d)
x=1 y =2, y =-2
6.
Solve for y
a)
y = -9
b)
y = -3
c)
y=1
d)
y = 3
7.
Find the hole of the function.
3x2+ 21x
_________
x2+5x-14
3x2+ 21x
_________
x2+5x-14
a)
x =2,-7
b)
x=7
c)
x=-7
d)
x=-4,3
8.
Find the vertical asymptote.
3x2+ 21x
_________
x2+5x-14
3x2+ 21x
_________
x2+5x-14
a)
y=2
b)
x=3/2
c)
x= 2
d)
x=7
9.
Describe all transformations from the parent function g(x)=1/x to f(x).
a)
Shift right 5 and shift up 7
b)
Shift left 7 and shift up 5
c)
Reflect over the x-axis, shift up 7
d)
Shift left 5 and shift up 7
10.
What did the math teacher mommy feed her baby?
a)
Square roots
b)
TI-84s
c)
Graph paper
d)
Quadratic formula
11.
What is the LCD of:
a)
x
b)
x2
c)
4
d)
4x
12.
Solve for x.
a)
2
b)
18/5
c)
26/5
d)
6
13.
Find both asymptotes.
x+2
______
2x-6
x+2
______
2x-6
a)
x=-3 and y=1/2
b)
x=1/2 and y=3
c)
x=3 and y =-1/2
d)
x=3 and y=1/2
14.
What are the asymptotes of the following function:
y = x / (2x - 6)
y = x / (2x - 6)
a)
y = 1/2, x = 3
b)
y = 2, x = 6
c)
y = 1/2, x = 6
d)
y = 2, x = 3
15.
Which asymptote(s) are determined by looking at the denominator?
a)
vertical
b)
horizontal
c)
end behavior
d)
none
16.
Find the vertical asymptote.
x2-2x-8
__________
3x-2
x2-2x-8
__________
3x-2
a)
y=2/3
b)
x=3/2
c)
x= 2/3
d)
x=1/3
17.
What is the horizontal asymptote?
a)
x = -5
b)
x = -4
c)
y = -5
d)
y = -4
18.
Find the horizontal asymptote.
a)
None
b)
y = 0
c)
y = -1/3
d)
y = -3
19.
What is Ms. Lawrence's favorite color?
a)
Red
b)
Blue
c)
Orange
d)
Green
20.
Where is Ms. Lawrence from?
a)
NYC
b)
Long Island
c)
Upstate NY
d)
Pennsylvania
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