Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2.
(a) [2] Specify the (open) intervals on which f(x) is increasing, and the intervals on which f(x) is decreasing.
(b) [2] Specify all local maxima and local minima, giving both x-coordinates and y-coordinates for them.
(c) [2] Specify the intervals on which f(x) is concave up and on which f(x) is concave down.

(d) [2] List the inflection point(s).

(e) [2] Sketch a graph of y = f(x). Make sure that your sketch clearly indicates where the function y = f(x) is increasing, decreasing, concave up, and concave down. Label any maxima, minima, and inflection points. (You may use the following fact: f(x)=0whenx≈−1.3,whenx≈−0.2,andwhenx≈3.1.)

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milcah answered 1 year ago

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