Absolute value functions
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Absolute value functions PowerPoint PPT Presentation


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Absolute value functions. A special type of piecewise function. Format. Graph of the absolute value function. The graph of has the following characteristics: The graph has vertex (h, k) and is symmetric to the line x = h.

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Absolute value functions

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Absolute value functions

Absolute value functions

A special type of piecewise function


Format

Format


Graph of the absolute value function

Graph of the absolute value function


Graphing absolute value functions

The graph of has the following characteristics:

  • The graph has vertex (h, k) and is symmetric to the line x = h.

  • The graph is V-shaped. It opens up if a>0 and down if a<0.

Graphing absolute value functions


Graphing absolute value functions continued

  • The graph is wider than the graph of

    if

  • The graph is narrower than the graph of

    if

Graphing absolute value functions (continued)


Writing an absolute value function

  • Write an equation of the graph shown.

Writing an absolute value function


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