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5.2 Graphing Simple Rational Functions

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.
What are the asymptotes?
a)
x = -3        y = 1  
b)
x = 3         y = 1
c)
x = -3        y = -1
d)
x = 3         y = -1
2.
What are the asymptotes?
a)
x = -1         y = -3
b)
x = 1          y = -3
c)
x = -1         y = 3
d)
x = 1          y = 3
3.

Describe the transformations of the function.

a)

Shift up by 2 units

Reflected over the x-axis

b)

Shift down by 2 units

Reflected over the y-axis

c)

Shift up by 2 units

Reflected over the y-axis

d)

Shift left by 2 units

Reflected over the x-axis

4.

Which of the following represents the graph below?

a)
b)
c)
d)
5.
What is the horizontal asymptote? 
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7
6.

What is an asymptote?

a)

an imaginary line that your function never touches

b)

a part of your function

c)

a point on your graph

d)

a type of fruit

7.
How is this function transformed from the parent function?
a)
Translated left and up
b)
Translated right and up
c)
Translated left and down
d)
Translated right and down
8.

What is the equation of the rational function graphed?

a)
b)
c)
d)
9.
Which asymptote(s) are determined by looking at the denominator?
a)
vertical
b)
horizontal
c)
end behavior
d)
none
10.
what is the equation that best matches the graph?
a)
A
b)
B
c)
C
d)
D
11.

Which is the graph of the rational equation:

a)
b)
c)
d)
12.

Which function matches this graph?

a)

f(x)=1x1+2f\left(x\right)=\frac{1}{x-1}+2

b)

f(x)=1x+21f\left(x\right)=\frac{1}{x+2}-1

c)

f(x)=1x+1+2f\left(x\right)=\frac{1}{x+1}+2

d)

f(x)=1x2+1f\left(x\right)=\frac{1}{x-2}+1