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Math 125 Spring 2016 Quiz 16 NAME: Show all of your work and organize all of your steps otherwise you will not receive full/partial credit. 1. For the function f (x) = x4 − 2x2 + 4, find 4 (a) all zeroes and asymptotes (if any exist), (b) all critical points, (c) the intervals on which the function is decreasing or increasing, (d) all local maxima and minima, (e) the intervals on which the function is concave up or concave down, (f ) all inflection points. (g) sketch the graph of f .