Family Functions: Asymptotes

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Family Functions: Asymptotes - PowerPoint PPT Presentation

Family Functions: Asymptotes. What is the Domain and Range of this function?. Asymptote. A line that a graph gets closer and closer to, but never touches. -Vertical Asymptote : A value that our “x” can never be equal to. -Horizontal Asymptote : A value that our “y” can never be equal to.

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Family Functions:Asymptotes

Asymptote

A line that a graph gets closer and closer to, but never touches.

-Vertical Asymptote: A value that our “x” can never be equal to.

-Horizontal Asymptote: A value that our “y” can never be equal to.

Vertical: 1

Horizontal: 0

What is the vertical asymptote?

x² + 4x + 5

y =

(x + 3)(x – 4)

x = -3, 4

What is the vertical asymptote?

x² + 4x + 5

y =

x² - 9

x = -3, 3