Graph of Rational Functions

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 6

• x= -6

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

Select all the information that applies to the given rational function.

• V.A. at x = 2

• No Holes

• H.A. at y = -1/3

• y-intercepts at (0, 1/2)

What are the asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Label the graph

b

c

d

e

a

x-axis

Vertical Asymptote

y-intercept

origin

Horizontal Asymptote

What is the horizontal asymptote to this function?

• y=4

• y=0

• y=-2

• y=1

What is the domain?

• All real numbers

• All real numbers except 4

• All real numbers except 2

• All real numbers except 2 and -2

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

• vertical

• horizontal

• end behavior

• none

What is an asymptote?

• an imaginary line that your function never touches

• a part of your function

• a point on your graph

• a type of fruit