3.5 Absolute Value Functions

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3.5Absolute Value Functions
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Absolute Value Function

• Has the form
• An absolute value functions has graph that forms
  a V

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To graph absolute value functions

• Find the vertex.
• (Set the value inside the abs signs equal to
  zero)
• Make a table of values (an x/y chart).
• Choose enough x-values to create both legs of the
  V.
• Plot the points and connect them.

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Ex 1

• Graph

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Ex 2

• Graph

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Ex 3

• Graph

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Ex 4

• Graph

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Characteristics of Absolute Value Functions

• If the function is ______________, the V opens
  upward. If the function is ___________, the V
  opens downward.
• If there is a number added or subtracted inside
  the absolute value bars, the V is shifted
  ________________.
• If there is a number added or subtracted outside
  the absolute value bars, the V is shifted
  ________________.
• If the function is multiplied by a coefficient,
  the V gets narrower or wider.