Rational Graphs Review

What are the asymptotes?

• VA = -3 HA = 1

• VA = 3 HA = 1

• VA = -3 HA = -1

• VA = 3 HA = -1

What is/are the vertical asymptote(s)?

• There are no vertical asymptotes

• VA = 5

• VA = -5

• VA = -1/2

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which asymptote(s) are determined by looking only at the denominator?

• vertical
• horizontal
• both
• none

How do you find the y-intercept for a rational function?

• Divide numerator by denominator.

• Evaluate f(0).

• Set the denominator = 0 and solve.

• Set the numerator = 0 and solve.

A rational function will have a horizontal asymptote at  $y=0$  when _________. 

• The degree of the numerator is greater than the degree of the denominator.

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. 

• Rational functions can never have horizontal asymptotes at y=0.

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

what is the equation that best matches the graph?

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What are the Vertical Asymptotes of...

• x = 0, -5
• x=0, 5
• x = 2, -7
• x = -2, 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the Horizontal Asymptote?

• None

• y = 0

• y = 1

• y = 5/4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the horizontal asymptote? 

• x = 2

• y = 0

• y = 2

• y = 7