4.) Given: f (x) = 2x3 + x2 — 2x —1 defined on the interval [-2,11 Plot f (x) and find the roots of f (x) . Find the critical numbers for f (x) . For each critical number state if it is a local...

4.) Given: f (x) = 2x3 + x2 — 2x —1 defined on the interval [-2,11
Plot f (x) and find the roots of f (x) .
Find the critical numbers for f (x) . For each critical number state if it is a local maximum, local minimum, or neither. Find the x-coordinate(s) of the inflection point(s) of f (x) .
Find the absolute (global) maximum of f (x) on the interval [-2,1] .
Find the absolute (global) minimum of f(x) on the interval [-2,1] .