you will use a CAS to help find the absoluteextrema of the given function over the specified closed interval. Performthe 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 mayhave 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 atthe endpoints of the interval.e. Find the function’s absolute extreme values on the interval andidentify where they occur. ƒ(x) = x4 - 8x2 + 4x + 2, [-20/25, 64/25]
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 - 8x2 + 4x + 2, [-20/25, 64/25]
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