Week 12 – graphing absolute value linear equations

This week in Math, we learned how to graph and interpret graphs of absolute value equations.  Since absolute value generally means that a number will always be expressed as a positive value, then the output values of our graph will always be positive.  Below is what the graph of the parent function looks like.

Image result for absolute value linear equations

As you can see, the y value will always be greater than or equal to zero.

To express the equation without absolute value symbols we use what is called piecewise notation.

For the parent function, it would be:

y=x, x\geq0,

y=-(x), x<0

The line on the left is simply the opposite (negative) version of the linear parent function y=x.