Finding Holes in a Rational Function

Identify the hole(s) in the graph.

• There are no holes

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 is the x-value of the hole?g\left(x\right)=\frac{\left(x-2\right)\left(x+6\right)}{\left(x+2\right)\left(x-2\right)}

• 2

• -2

• -6

• 6

Tags

CCSS.HSF-IF.C.7D

f\left(x\right)=\frac{\left(x+7\right)\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-5\right)} 

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Tags

CCSS.HSF-IF.C.7D

Which of these is NOT an asymptote on this graph?

• x=-3

• x=3

• y=2

• y=-3

Tags

CCSS.HSF-IF.C.7D

 Identify the hole(s) in the graph.

• There are no holes

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

Find the hole(s).

• None

• x = -4

• x = 4

• x = 1/2

Tags

CCSS.HSF-IF.C.7D