Vertical and Horizontal Asymptotes

Vertical and Horizontal Asymptotes

Multiple Choice

What is the equation of the horizontal asymptote of the given function?

• y = 2

• x = 1

• There isn't one

• y = 5

Multiple Choice

Which of these is NOT an asymptote on this graph?

• x=-3
• x=3
• y=2
• y=-3

Multiple Choice

What are the asymptotes?

• x=-2 and y=-1
• x=-2 and y=1
• x=2 and y=1
• x=2 and y = -1

Multiple Choice

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• slant
• none

Multiple Choice

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Multiple Choice

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Multiple Choice

• y = 0
• y = 1/2
• y = 2
• None

Multiple Choice

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

Multiple Choice

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

Multiple Choice

When finding the Horizontal asymptotes of a function, you should be thinking...

• "Set Bottom = to Zero"
• "Top = 0"
• "f(0)"
• "Look at the Degree of the top and bottom..."

Multiple Choice

Which of the following represents the graph of  $f\left(x\right)=\frac{1}{x^2-16}$  ?

Multiple Choice

Which of the following represents the vertical asymptote(s) for the function below?
 $f\left(x\right)=\frac{5}{x^2\left(x-4\right)\left(x+2\right)}$  

•  $x=0,-4,2$  

•  $x=4,-2$  

•  $x=0,4,\ -2$  

•  $x=-4,2$  

Multiple Choice

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

•  $x=-3$  

•  $y=-2$  

•  $x=-2$  

•  $y=-3$  

• No Vertical Asymptote

Multiple Choice

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

•  $x=2$  

•  $y=2$  

•  $x=4$  

•  $y=4$  

• No Vertical Asymptote

Multiple Choice

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6