3.5 Absolute Value Functions

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Presentation transcript:

3.5 Absolute Value Functions

Absolute Value Function Has the form An absolute value functions has graph that forms a V

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.

Ex 1 Graph

Ex 2 Graph

Ex 3 Graph

Ex 4 Graph

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.