(4) Consider the function f (x) = x4 + 8x³ + 100 (a) On what interval or intervals is f (x) increasing? Justify your answer. (You can show work at the bottom of the page) (b) On what interval or intervals is f (x) decreasing? Justify your answer. (c) Find any local maxima of f (x). Give both x and y coordinates. (d) Find any local minima of f (x). Give both x and y coordinates. (e) On what interval or intervals is f (x) concave up? (f) On what interval or intervals is f (x) concave down. (g) Find any inflection points of f (x). Give both x and y coordinates.

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