Intro to Graphing Rational Functions

Graph the function.

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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)

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

Graph the function.

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What is the equation of the graph pictured?

Mathematical Equivalence

ON

Label the graph

b

c

d

e

a

origin

x-axis

Vertical Asymptote

y-intercept

Horizontal Asymptote

Graph the function.

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Graph the function.

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Which of the following does not have a horizontal asymptote?

• they all have a horizontal asymptote