Rational Functions

What is the horizontal asymptote of the function given?

• y = 2
• x = 1
• x = 2
• y = -1

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

Find the horizontal asymptote.

• None
• y=-2
• y=2
• y=0

Tags

CCSS.HSF-IF.C.7D

What's the vertical asymptote of the function?

• x = 4

• x = 16

• x = 4 , x = -4

• No vertical asymptote

Tags

CCSS.HSF-IF.C.7D

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

• vertical
• horizontal
• end behavior
• none

Tags

CCSS.HSF-IF.C.7D

What is the domain?

• $\left(-\infty,\infty\right)$

• $\left(-\infty,4\right)\left(4,\infty\right)$

• $\left(-\infty,2\right)\left(2,\infty\right)$

• $\left(-\infty-2\right)\left(-2,2\right)\left(2,\infty\right)$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Is there a hole or a vertical asymptote?

• A hole when $\left(2,1\right)$

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

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

Match the graph to the correct rational equation below.

• $f\left(x\right)=\frac{x^2}{x^2+x-12}$

• $f\left(x\right)=\frac{4x^2}{x^2-x-12}$

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

• $f\left(x\right)=\frac{x}{x^2+x-12}$

Tags

CCSS.HSF-IF.C.7D

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D