Solve the problem.Suppose that f has a positive derivative for all values of x and that f(2) = 0. Which of the following statements must be true of the function g(x) = ?

A. The graph of g crosses the x-axis at x = 2.
B. The function g has a local minimum at x = 2.
C. The graph of g has an inflection point at x = 2.
D. The function g has a local maximum at x = 2.


Answer: B

Mathematics

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