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Math · Calculus
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3. (13 points) Let f(z) 1. You are given that f (r) (1 2r3) 1)2 and f(r) (a) (1 pt) Find the domain of f in interval form. (b) (3 pts) Find the intervals of increase and decrease of f, and all local extreme values of f. (c) (3 pts) Find the intervals of concavity, and all points (ar,y) of inflection of f. (d) (3 pts) Find all asymptotes of f. You must verify. (e) (3 pts) Using the above information, sketch the graph of Label f. the points carefully.
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