Practice: Rational Function Facts

The asymptotes for Graph A are…

• x = 2 and y = 0

• x = 0 and y = 2

• x = -2 and y = 0

• x = 0 and y = -2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

 $f\left(x\right)=\frac{x^2-2x-8}{3x-2}$  

Find the vertical asymptote.

• y=2/3

• x=3/2

• x= 2/3

• x=1/3

Tags

CCSS.HSA.APR.D.7

 $f\left(x\right)=\frac{x-2}{x+5}$  

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Tags

CCSS.HSA.APR.D.7

Find the horizontal asymptote. $f\left(x\right)=\frac{4x-16}{x^2-16}$  

• y=2

• y=1

• y=0

• none

Where is the horizontal asymptote?

• y= 5

• y= 0

• y= 1

• y= 6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertical asymptote?

• x= -2

• x= 2

• x= 0

• x= 1

Tags

CCSS.HSA.APR.D.7

Where is the horizontal asymptote?

• y= 6

• y= 1

• y= 0

• none

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following are true? (there can be more than one answer)

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

Where is the horizontal asymptote?

• y= 2

• y= 0

• y= 1

• none

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the Vertical Asymptote(s)?

• x= -4
• x= -4,5
• x= -5,5
• x= 4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7