# x(x2 – 1)x2 +163. GU Let h(x)and the increasing/decreasing behavior of f. Sketch a plausible graph for f itself.and suppose that f'(x) = h(x). Plot h and use the plot to describe thelocal extrema

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4 views help_outlineImage Transcriptionclosex(x2 – 1) x2 +1 63. GU Let h(x) and the increasing/decreasing behavior of f. Sketch a plausible graph for f itself. and suppose that f'(x) = h(x). Plot h and use the plot to describe the local extrema fullscreen
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Step 1

We use a graphing calculator to graph h(x) Step 2

The x-intercepts are at x=-1, x=0 and x=1

Those are the critical points of f(x).

When h(x) is negative then f(x) will be decreasing and when h(x) is positive then f(x) will be increasing.

h(x) is negative in (-infinity,-1) and (0,1)

So, in (-infinity,-1) and (0,1) f(x) is decr...

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