Rational Function Key Features

What's the vertical asymptote of the function?

• x = -9

• x = 9

• x = 3 , x = -3

• x = 3

Which statement represents the type(s) of discontinuity for the rational function?

• The function has a removable discontinuity at x = 3 and x = –3.

• The function has a vertical asymptote at x = 3 and x = –3

• The function has a non-removable discontinuity at x = –3 and a vertical asymptote at x = 3.

• The function has a removable discontinuity at x = 3 and a vertical asymptote at x = –3.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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• 
• 
• 

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• The function is discontinuous at x={-5, -3}

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• there is no horizontal asymptote

Label the graph

b

c

d

e

a

x-axis

y-intercept

Vertical Asymptote

Horizontal Asymptote

origin

Which statement best describes the graph of \frac{x^2+9}{2x-6}?

• The graph has a vertical asymptote at x=3

• The graph has no vertical asymptote

• The graph has a vertical asymptote at x=-3

• The graph has vertical asymptotes at x=3 and x=-3