Finding Holes of a Rational Function

Where is there a hole on the graph of the function?

• x = 2

• x = -2

• There are no holes.

• x = 5

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Tags

CCSS.HSF-IF.C.7D

A hole occurs when....

• You wear pants that are too tight.

• A factor from the numerator cancels with a factor in the denominator.

• The degree of the numerator is one more than the degree of the denominator.

• The denominator cannot be factored.

Tags

CCSS.HSF-IF.C.7D

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

Find the x-value of the hole

• x=0

• none

• x=3

• x=-3

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

Where does a hole in the graph occur?

• x= 4

• x= -4

• x= 5

• x= -5

Tags

CCSS.HSF-IF.C.7D

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7D

What is the x-value if the hole?

• x= -2

• x= 2

• x= 3

• x= -3

Tags

CCSS.HSF-IF.C.7D