Rational Functions Algebra

• y = 0
• y = 1/2
• y = 2
• None

What is the vertical asymptote of this graph?

• x = 4

• x = -4

• x = 0

• x = 2

What is the horizontal asymptote of this graph?

• y = 0

• y = 1

• y = 2

• y = 3

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4

A vertical asymptote is found by setting the _________= to zero and solving for x  (a)  

• Numerator

• Denominator

• Right side 

• Left side

• at x = 2

• Vertical Asymptote

• at y = 0

• hole

• x ≠ 2 or -5

• Horizontal Asymptote

• at x = -5

• restrictions

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Label the graph

b

c

d

e

a

Vertical Asymptote

origin

Horizontal Asymptote

x-axis

y-intercept

Determine the removable point(s) of discontinuity (or holes) for the following function. f(x)=\frac{3(x-2)}{(x-7)(x-2)} is (a)   .

• x = 2

• x = 7

• x = 2 and x = 7

• x = 0

• Does Not Exist

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