Absolute Value Function

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Absolute Value Function

Absolute Value is when a function equation is expressed within absolute value symbols. For example y = |x|. |x|is mean the absolute value of x. In this example when x = 4 then y will equal 4. But if x = -4 then y will also be 4, this is because absolute value describes the distance from zero that a number is on the number line, only considering the distance. The absolute value of a number will never be negative.


Properties

  1. There must be at least one point you cant find a slope.
  2. Must be symmetric.

examples of Absolute Value Function

  1. f(x)=|x+4|
Screen Shot 2021-10-28 at 9.26.19 PM.png
  1. f(x)=|2x|-2
Screen Shot 2021-10-28 at 9.31.16 PM.png
  1. f(x)=|x+4|-3
Screen Shot 2021-10-28 at 9.44.56 PM.png
  1. f(x)=|x|-10
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