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Rewrite f(x) = as a piecewise-defined function using two linear equations. Describe how the graph grows. 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