### Home > CALC > Chapter 1 > Lesson 1.3.1 > Problem1-101

1-101.

Rewrite $f(x) = |x|$ as a piecewise function using two linear equations. Describe how the graph changes. .

Start by sketching a graph. If you do not know what $y = |x|$ looks like, graph $y = x$, then...

How would the absolute value sign change this function?

Notice that $x = 0$ is the boundary point of $y = |x|$. So the piecewise function will have two pieces that meet at $x = 0$. The first piece looks like $y =$ _______ and the second piece looks like $y =$ ___________.

Use the eTool below to view the graphs of the function.
Click the link at right for the full version of the eTool: Calc 1-101 HW eTool