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4) Determine the extrema of the function f(x)-vi-x* on the interval [-1, 1] 5) Let g(x)-(x2-1)' a) State the open intervals on which g(x) is increasing or decreasing, (if any) b) Find any and all relative maximums and minimums (if they exist) c) State the open intervals on which g(x) is concave up and concave down (if any) d) Determine all points of inflection (if any)
Show transcribed image text 4) Determine the extrema of the function f(x)-vi-x* on the interval [-1, 1] 5) Let g(x)-(x2-1)' a) State the open intervals on which g(x) is increasing or decreasing, (if any) b) Find any and all relative maximums and minimums (if they exist) c) State the open intervals on which g(x) is concave up and concave down (if any) d) Determine all points of inflection (if any)