Discontinuities of Rational Functions

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -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

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator
• Denominator
• Right side 
• Left side

Tags

CCSS.HSF-IF.C.7D

• x=-3 and x=4

• x=3 and x-4

• x=1 and x=5

• x=-1 and x=5

Tags

CCSS.HSF-IF.C.7D

• x=-6 and x=0

• x=-6

• x=5 

• x=-5 and x=0

Tags

CCSS.HSF-IF.C.7D

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

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 where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• The function is discontinuous at x={-5, -3}

Tags

CCSS.HSF-IF.C.7D