Quiz about Graphing Rational Functions

Question 1

What is the equation of the horizontal asymptote?

Accepted Answer

y = -2

Answer

y = 0

Answer

y = 2

Answer

There isn't one

Question 2

What is the equation of the vertical asymptote?

Accepted Answer

x = 4

Answer

x = 0

Answer

x = -1, x = 4

Answer

x = -1

Question 3

What is the equation of the rational function graphed?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Suppose you translate the graph of $$y=\frac{3}{x}$$ so that the new graph has asymptotes at x= -5 and y=14. What is the equation for the new graph?

Accepted Answer

$$y=\frac{3}{x+5}+14$$

Answer

$$y=\frac{3}{x-5}-14$$

Answer

$$y=\frac{3}{x-14}-5$$

Answer

$$y=\frac{3}{x+14}+5$$

Question 5

What is the DOMAIN?

Accepted Answer

$$\left(-\infty,-3\right)U\left(-3,\infty\right)$$

Answer

$$\left(-\infty,1\right)U\left(1,\infty\right)$$

Answer

$$\left(-\infty,-3\right)U\ \left(-3,\ 1\right)\ U\left(1,\infty\right)$$

Answer

All Real Numbers

Question 6

Select ALL values that are excluded from the DOMAIN.

Accepted Answer

x=1

Accepted Answer

x=-1

Answer

y=1

Answer

x=0

Question 7

Find and classify each discontinuity of the function.

Accepted Answer

x = -5, vertical asymptote

Answer

x = 5, vertical asympotoe

Answer

x = -5, hole

Answer

continuous on the domain

Question 8

Which of the following represents the graph below?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 9

What is the horizontal asymptote to this function?

Accepted Answer

y=4

Answer

y=0

Answer

y=-2

Answer

y=1

Question 10

Which equation best represents the graph?

Accepted Answer

$$y=\frac{\left(x+2\right)}{\left(x-4\right)}$$

Answer

$$y=\frac{\left(2x\right)}{\left(x-4\right)}$$

Answer

$$\ y=\frac{\left(x+2\right)}{\left(x+4\right)}$$

Answer

$$y=\frac{\left(x+4\right)}{\left(x-2\right)}$$

Question 11

What is the Vertical Asymptotes?

Accepted Answer

x= 6

Answer

x= -5

Answer

x= 5

Answer

x= -6

Question 12

What are the asymptotes?

Accepted Answer

x = -3 y = 1

Answer

x = 3 y = 1

Answer

x = -3 y = -1

Answer

x = 3 y = -1

Question 13

What are the asymptotes?

Accepted Answer

x = 1 y = 3

Answer

x = -1 y = -3

Answer

x = 1 y = -3

Answer

x = -1 y = 3

Question 14

What is the horizontal asymptote?

Accepted Answer

y = 7

Answer

x = 2

Answer

x = 7

Answer

y = 2

Question 15

What is an asymptote?

Accepted Answer

an imaginary line that your function never touches

Answer

a part of your function

Answer

a point on your graph

Answer

a type of fruit

Graphing Rational Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics