Question

The function f(x)=2x^{3}−27x^{2}+48x+5 as one local minimum and one local maximum.

Use a graph of the function to estimate these local extrema.

This function has a local minimum at x =

with output value=

and a local maximum at x =

with output value=

Step 1

To estimate (approximately) the local minimum and the local maximum of the given function by graphing

Step 2

The point of the problem is that we need not evaluate the exact values; enough to estimate using the graph. we know that the extr...

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