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**3.5 Absolute 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.

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Vocabulary The function f(x) = |x| is an absolute value function. The highest of lowest point on the graph of an absolute value function is called the.

Vocabulary The function f(x) = |x| is an absolute value function. The highest of lowest point on the graph of an absolute value function is called the.

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