You will use a CAS to help find the absolute extrema of the given function over the specified closed interval. Perform the following steps.

a. Plot the function over the interval to see its general behavior there.

b. Find the interior points where ƒ′= 0. (In some exercises, you may have to use the numerical equation solver to approximate a solution.) You may want to plot ƒ′ as well.

c. Find the interior points where ƒ′ does not exist.

d. Evaluate the function at all points found in parts (b) and (c) and at the endpoints of the interval.

e. Find the function’s absolute extreme values on the interval and identify where they occur.

ƒ(x) = -x⁴ + 4x³ - 4x + 1, [-3/4, 3]