### Home > APCALC > Chapter 5 > Lesson 5.2.1 > Problem 5-55

5-55.

Draw the graph of* * for

*Homework Help ✎*

Write an equation for

.Graph

using your graphing calculator. Then, use this graph to locate the*x*‑value of the local maximum of*f*over. The location of a local maximum on

*f*(*x*) can be found where*f*'(*x*) = 0 AND changes from positive values to negative values.Likewise, use a graph of

to locate the point of inflection offor. A zero on the second derivative that crosses the

*x*-axis (or changes sign) indicates a point of inflection on the original function.

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Click the link at right for the full version of the eTool: Calc 5-55 HW eTool