Rational Functions and Asymptotes Lesson

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator

Tags

CCSS.HSF-IF.C.7D

Name any holes of the function.

• x=0
• none
• x=1

Tags

CCSS.HSF-IF.C.7D

Where are the holes in the function?

• x = 4

• x = -4

• x = 2

• x = -2

Tags

CCSS.HSF-IF.C.7D

where are the holes in the rational function?

• x = 3

• x = -3

• x = 4

• x = -4

Tags

CCSS.HSF-IF.C.7D

What are the vertical asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2

• x=2 y =-1

• x=1 y =2, y =-2

Tags

CCSS.HSF-IF.C.7D

• x=2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D

What is the Vertical Asymptote(s)? 

• x= -5

• x= 5

• x= 6

• x= -6

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

• x cannot equal to 8

• x cannot equal to 0

• x cannot equal to -8

• All real numbers

• x cannot equal to 2

• x cannot equal to 1/2

• x cannot equal to -2

• All real numbers