Suppose the derivative of the function y=f(x) is y'=(x-2)(x-1). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? (Hint Draw the sign pattern for y') At what points, if any, does the graph of f have a local minimum? OA. The graph has a local minimum at x = (Type an integer or a simplified fraction Use a comma to separate answers as needed.). OB. The graph has no local minimum. At what points, if any, does the graph of f have a local maximum? OA. The graph has a local maximum at x = (Type an integer or a simplified fraction Use a comma to separate answers as needed.) OB. The graph has no local maximum. At what points, if any, does the graph of f have a point of inflection? OA. The graph has a point of inflection at x = (Type an integer or a simplified fraction Use a comma to separate answers as needed.) OB. The graph has no point of inflection

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