2.6 Homework 2 (Asymptotes and Holes)

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)}$   

• No vertical asymptotes.

• One vertical asymptote: x = 4

• Two vertical asymptotes: x = -3 and x = -7

• Three vertical asymptotes:  x = -3, x = 4, and x = -7

Find the vertical asymptote.

 $g\left(x\right)=\frac{\left(x+3\right)\left(x-2\right)}{\left(x+5\right)\left(2x-1\right)}$  

• x=-5

• x=1/2

• x=-1/2

• x=-3

• x=2

Tags

CCSS.HSA.APR.D.7

 $f\left(x\right)=\frac{\left(x+7\right)\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-5\right)}$  

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Tags

CCSS.HSA.APR.B.3

State the vertical asymptote: 

 $g\left(x\right)=\frac{\left(x+2\right)}{\left(2x+3\right)}$  

• x=2

•  $x=\frac{2}{3}$  
  

•  $x=-\frac{2}{3}$  
  

• x=-2

•  $x=-\frac{3}{2}$  

Tags

CCSS.HSA.APR.D.7

Find the vertical asymptote.

 $f\left(x\right)=\frac{x^2-2x-8}{3x-2}$  

• y=2/3

• x=3/2

• x= 2/3

• x=1/3

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 2
• x= -2

Tags

CCSS.HSA.APR.D.7

Where is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

Find the horizontal asymptote.

• None

•  $y=0$  

•  $y=\frac{-1}{3}$  

•  $y=-3$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• $y=-2$

• none

• $y=0$

• $y=\frac{1}{2}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7