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3.5 Absolute Value Functions - PowerPoint PPT Presentation


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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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absolute value function
Absolute Value Function
  • Has the form
  • An absolute value functions has graph that forms a V
to graph absolute value functions
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.
slide4
Ex 1

Graph

slide5
Ex 2

Graph

slide6
Ex 3

Graph

slide7
Ex 4

Graph

characteristics of absolute value functions
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.