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7.3 Graphing Reciprocal Functions

Total questions: 21

Worksheet time: 30mins

Name
Class
Date
1.

Which of the following represents the graph below?

a)
b)
c)
d)
2.

Which of the following represent the graph?

a)
b)
c)
d)
3.

What is the vertical asymptote of the following function?

a)

x = -2

b)

x = 2

c)

y = -3

d)

y = 3

4.

Describe the transformation of the function.

a)

shift left 3 units

b)

shift right 3 units

c)

shift up 3 units

d)

shift down 3 units

5.

Describe the transformations of the function.

a)

Shifted right by 4 units

Shifted down by 7 units

Stretched Vertically

b)

Shifted right by 4 units

Shifted up by 7 units

Stretched Vertically

c)

Shifted right by 4 units

Shifted down by 7 units

Compressed Vertically

d)

Shifted left by 4 units

Shifted down by 7 units

Compressed Vertically

6.

What is this function called?

a)

Quadratic

b)

Reciprocal

c)

Polynomial

d)

Exponential

7.

What is the equation of the Vertical Asymptote of y=3x−4+2y=\frac{3}{x-4}+2  

a)

x=2x=2  

b)

y=2y=2  

c)

x=4x=4  

d)

y=4y=4  

e)

No Vertical Asymptote

8.

Which is the graph of the rational equation:

a)
b)
c)
d)
9.
What are the asymptotes?
a)
x= -1& y = -3
b)
x= 1& y = -3
c)
x= -1& y =3
d)
x= 1& y=3
10.

The given graphed function would have a horizontal asymptote at

a)

x = 0

b)

y = 0

c)

x = 2

d)

y = 2

11.

What is the domain for the following function?

a)

All real numbers except 2.

b)

All real number except -2.

c)

All real numbers except 4.

d)

All real numbers.

12.

What is the range for the following function?

a)

All real numbers.

b)

All real numbers except for -2.

c)

All real numbers except for 2.

d)

All real numbers exceptt for 4.

13.

What is the vertical asymptote of the following function?

a)

x = -2

b)

x = 2

c)

y = -3

d)

y = 3

14.

Describe the transformations of the function.

a)

Shifted right by 4 units

Shifted down by 7 units

Stretched Vertically

b)

Shifted right by 4 units

Shifted up by 7 units

Stretched Vertically

c)

Shifted right by 4 units

Shifted down by 7 units

Compressed Vertically

d)

Shifted left by 4 units

Shifted down by 7 units

Compressed Vertically

15.

Describe the transformation of the function.

a)

Shift left by 2 units

Compressed vertically

b)

Shift right by 2 units

Stretched vertically

c)

Shift right by 2 units

Compressed vertically

d)

Shift down by 2 units

Compressed vertically

16.

What is the vertical asymptote of the function?

a)

x = 2

b)

x = -2

c)

x = 0

d)

x = 1

17.

What is the horizontal asymptote of the function?

a)

x =1

b)

x = -2

c)

x = 2

d)

y = 0

18.

Given the function y = 3/x what are the asymptotes

a)

x = 0 and y = 0

b)

x = 3 and y = 1

c)

x = 1 and y = 3

d)

DNE

19.

Given the function y = 3/x what is the domain

a)

R except x = 0

b)

R except x = 3

c)

R except y = 0

d)

R except x = 1

20.

Given the function y = 3/x what is the range

a)

R except y = 0

b)

R except y = 3

c)

R except x = 0

d)

R except y = 1

21.

What is the equation of the graphed function?

a)

y = (1 / x) + 2

b)

y = (1 / x) - 2

c)

y = 1 / (x + 2)

d)

y = 1 / (x - 2)