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[Steps Shown] Given the first derivative of a function y = f(x) . At what points, if any, does the graph of f have a local maximum, local minimum, or inflection

Question: Given the first derivative of a function y = f(x) .

  1. At what points, if any, does the graph of f have a local maximum, local minimum, or inflection point?
  2. Sketch the general shape of the graph.

a.

b.

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