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3.5 Absolute Value Functions

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).

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3.5 Absolute Value Functions

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  1. 3.5Absolute Value Functions

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

  3. 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.

  4. Ex 1 Graph

  5. Ex 2 Graph

  6. Ex 3 Graph

  7. Ex 4 Graph

  8. 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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