Find the intervals on which the function is INCREASING, DECREASING, RELATIVE MIN

Question

Find the intervals on which the function is INCREASING, DECREASING, RELATIVE MINIMUM, RELATIVE MAXIMUM.

Find the intervals on which the function is INCREASING, DECREASING, RELATIVE MINIMUM, RELATIVE MAXIMUM. Using a graphing calculator, graph f(x) = - x3 + 6x2 - 9x-2 in the viewing rectangle [ - 3, 7, - 20, 15]. Find the intervals on which the function is increasing or decreasing and find any relative maxima or minima. Find any relative maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There is a relative maximwn of at x = There are no relative maxima. Find any relative minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There is a relative minimwn of at x = There are no relative minima.

Explanation / Answer

The derivative of (f'(x)), by calculus, is

[f'(x) = -3x^2 + 12x - 9]

Check the graphs of (f(x)) and its derivative:

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