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

A special type of piecewise function

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.

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

Graphing absolute value functions

• The graph is wider than the graph of

if

• The graph is narrower than the graph of

if

Graphing absolute value functions (continued)

• Write an equation of the graph shown.