### Home > CALC > Chapter 3 > Lesson 3.4.3 > Problem 3-174

3-174.

Sketch the graph of , and use this graph to sketch the graph of the slope function,

*.*

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*