### Home > INT3 > Chapter 3 > Lesson 3.1.2 > Problem3-43

3-43.

Make a complete graph of each of the following equations. (Keep the graphs handy, because you will need them for your homework for Lesson 3.1.4.).

1. $y = | x |$

This is the "parent" absolute value function.

1. $| y | = x$

Make a table, but fill in the $y$-column first.

1. How are the two graphs similar? How are they different?

Look at the shape and orientation of each graph.

2. What are the domain and range of each graph?

Domain of $y=|x|$: all real numbers
Range of $y=|x|$: $y\ge0$

Domain of $\left|y\right|=x$: $x\ge0$
Range of $\left|y\right|=x$: all real numbers

Use the eTool below to graph the equations.
Click the link at right for the full version of the eTool: 3-43 HW eTool