Graphing Rational Functions

What is the Horizontal Asymptote? 

• y= 5
• y= -6
• y= 1
• y= 5/-6

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

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.8.F.A.1

CCSS.HSF.IF.B.5

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

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

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

• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

Tags

CCSS.HSF-IF.C.7D

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

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

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

A graph can have more than one hole.

• True

• False

Tags

CCSS.HSF-IF.C.7D

You can have an x-intercept on an asymptote.

• True

• False