Graphs Rational Functions

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

Choose the correct graph that matches with the equation.

• A

• B

• C

• D

Which is the graph of the rational equation:

• 
• 
• 
• 

Find the equation of the graph

• 
• 
• 
• 

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Label the graph

b

c

d

e

a

Horizontal Asymptote

y-intercept

Vertical Asymptote

x-axis

origin

Find the horizontal asymptote of f(x)

• None

• y=6

• y=1/3

• y=3

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)

• y= (x-4)(x-3) / (x+1)(x-3)

• y= (x+1)(x-3) / (x-4)(x-3)

• y= (x+4)(x+3) / (x+1)(x+3)

Find the horizontal asymptote.

• None

• y = 0

• y = -1/3

• y = -3