Asymptotes and Holes of Rational Functions

Identify the vertical asymptote(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote(s).

• None

• x = 0

• x= 4

• x = -4, 4

Tags

CCSS.HSF-IF.C.7D

Identify the x-value of the hole(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

Tags

CCSS.HSF-IF.C.7D

What are the Vertical Asymptotes of...

• x = 0, -5

• x=0, 5

• x = 2, -7

• x = -2, 7

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote.

• y=2/3

• x=3/2

• x= 2/3

• x=1/3

Tags

CCSS.HSF-IF.C.7D

Which of the following is determined by just looking at the denominator?

• vertical asymptote

• horizontal asymptote

• holes

• slant asymptote

Tags

CCSS.HSF-IF.C.7D

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.HSF-IF.C.7D

Identify the vertical asymptote(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

Tags

CCSS.HSF-IF.C.7D

The equation of a vertical asymptote is written in the form:

• x=

• y=

• none of the above

Tags

CCSS.HSF-IF.C.7D

What is the definition of an ASYMPTOTE?

• A curved line. 

• A line that only touches the origin. 

• A line that only lives on the first quadrant. 

• A line that a curve approaches, as it heads towards infinity. 

Tags

CCSS.HSF-IF.C.7D