Graphing Rational Functions

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -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

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

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

• All Reals Except 0
• All Reals
• All Reals Except -3
• All Reals Except 0 and -3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Graph the function.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

Tags

CCSS.HSF-IF.C.7D

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{x^2-x}{-4x+16}$  

• Vertical Asymptote. at x = -1

• No Holes

• Horizontal Asymptote. at y = -1/4

• x-intercepts at (0,0) and (-1,0)

Tags

CCSS.HSF-IF.C.7D

Match the graph to the correct rational equation below.

• $f(x)=\frac{x^2}{x^2+x-12}$

• $f(x)=\frac{4x^2}{x^2-x-12}$

• $f(x)=\frac{2x^2-2}{2x^2}$

• $f(x)=\frac{x}{x^2+x-12}$

Tags

CCSS.HSF-IF.C.7D

What is the Horizontal Asymptote?

• y= 0
• y= 4
• y= 5
• y= -5

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the function?

• y=0
• y=1/3
• none

Tags

CCSS.HSF-IF.C.7D