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Consider the following function

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Consider the following function. x2 x2+4 f(X) = (a) Give the domain of the function. (b) Show all work to prove that: 8x f(x)=m (c) Find intervals of increase and decrease, and local min/max values. (d) Show all work to prove that: 8(—3x2 + 4) f (x) = (x2 + 4). (e) Find intervals of concavity, and the x— values of any inflection points.