Finding Holes in Functions

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

where are the holes in the rational function?

• x = 3

• x = -3

• x = 4

• x = -4

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

The graph of the function of f(x) has​ (a)   ...

• a hole at (-5, 8.5)

• a hole at (3, 0)

• a hole at (5, 8.5)

• a hole at (-5, 0)

• a hole at (-3, 11)

• a hole at (-3, 0)

• no holes

• a hole at (5, 0)

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

What are the coordinates of the hole, if one exists.

• (-1, -2)

• there isn't one

Tags

CCSS.HSF-IF.C.7D

The graph of the function of f(x) has​ (a)   ...

• a hole at (-5, 8.5)

• a hole at (3, 0)

• a hole at (5, 8.5)

• a hole at (-5, 0)

• a hole at (-3, 11)

• a hole at (-3, 0)

• no holes

• a hole at (5, 0)

Tags

CCSS.HSF-IF.C.7D