2-7 Absolute Value Functions and Graphs

Objective

To graph absolute value functions

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There is a family of functions related to the one you represented in the Solve It.

Essential Understanding Just as the absolute value of x is its distance from 0, the absolute value of f(x), or |f(x)|, gives the distance from the line y = 0 y equals 0  for each value of f(x).

The simplest example of an absolute value function is f(x) = |x|. The graph of the absolute value of a linear function in two variables is V-shaped and symmetric about a vertical line called the axis of symmetry. Such a graph has either a single maximum point or a single minimum point, called the vertex.

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