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9-95.

Thoroughly investigate the graph of f (x) = ex2 . Identify all important qualities, such as where the function is increasing, decreasing, concave up, and concave down. Also identify point(s) of inflection, extrema, intercepts, and provide graphs of f ′(x) and f (x). Be sure to justify all statements both graphically and analytically. Homework Help ✎

Solve f′(x) = 0 to locate the extrema and determine the increasing/decreasing intervals.

Solve f''(x) = 0 to determine points of inflection and the intervals of concavity.