Finding Holes in 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

Name any holes of the function.

• x=0

• none

• x=1

Tags

CCSS.HSF-IF.C.7D

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Tags

CCSS.HSF-IF.C.7D

• a

• b

• c

• d

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

Find the x-value of the hole

• x=0

• none

• x=3

• x=-3

Tags

CCSS.HSF-IF.C.7D

Find the y-value of the hole

• None

• 7/16

• -4

• 7/8

Tags

CCSS.HSF-IF.C.7D

Where is the hole in this graph?

• x = -3

• x = 3

• x = 5

• None

Tags

CCSS.HSF-IF.C.7D