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3-174.

Sketch the graph of , and use the graph to sketch the graph of the slope function. 3-174 HW eTool (Desmos). Homework Help ✎

is a parabola, so will be linear.

Notice the negative slope when . This means the graph of will have negative values on this domain.

Notice the positive slope when . This means the graph of  will have positive values on this domain.

Notice that is the -value of the local minimum. This means the graph of will have a root at .

Use the eTool below to visualize this problem.
Click the link at right for the full version of the eTool: Calc 3-174 HW eTool