ABSOLUTE FUNC

• Absolute value function

  A function of the form f(x) = |x|
• Absolute value function graph

  • V-shaped graph

  Can be upwards or downwards
• Absolute value function properties

  • Domain: (-∞, ∞)

  Range: depends on the graph

  Shifting: |x| shifts the vertex

  Scaling: M|x| changes the slope
• Steps to accurately plot absolute value function points

  Find the vertex by equating the function

  Use the vertex as a basis

  Get values to the left and right of the vertex

  Substitute values to get the points
• Equation inside determines position vertex

  use slope to determine other points

  |x+2| eq inside absolute determines horizontal shift

  |x+2| +2 constant for vertical shift