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Suppose the derivative of the function y = f(x) is y' = (x - 3)-(x - 4). 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? O A. The graph has a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no local minimum. At what points, if any, does the graph of f have a local maximum? O A. The graph has a local maximum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no local maximum.At what points, if any, does the graph of f have a point of inflection? O A. The graph has a point of inflection at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no point of inflection