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

1-101.

Rewrite *f*(*x*) = |*x*| as a piecewise function using two linear equations. Describe how the graph changes. 1-101 HW eTool (Desmos). Homework Help ✎

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