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5-55.

Draw the graph of for . 5-55 HW eTool (Desmos). Homework Help ✎

  1. Write an equation for .

  2. 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.

  3. Likewise, use a graph of to locate the point of inflection of for .

    A zero on the second derivative that crosses the x-axis (or changes sign) indicates a point of inflection on the original function.

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 5-55 HW eTool