Write a piecewise defined function for the graph shown above describes

Here are a couple of examples showing how this idea can be used. Practice Page. Prove that linear functions grow by equal differences over equal intervals, and.

With a domain of all real numbers and a range of values greater than or equal to 0, absolute value can be defined as the magnitude, or modulus, of a real number value regardless of sign. Points on the functions graph corresponding to relative extreme values are turning points, or points where the function changes from decreasing to increasing or vice versa.

Directions: Grab your paper and pencil and graph paper. If we input 0, or a positive value, the output is the same as the input. Determine formulas that describe how to calculate an output from an input in each interval. We will call the point 2,0 a relative minimum point.