Local max? Point of inflection ?

Suppose the derivative of the function y = f(x) is y' = (x - 1) (x - 5). 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? A. The graph has a local minimum at x = 5. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The graph has no local minimum. At what points, if any, does the graph of f have a local maximum? 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