CPM Homework Help : CALC Problem 1-101

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

Hint 1:

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

Hint 2:

How would the absolute value sign change this function?

Hint 3:

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