Mathematics

Mathematics

Problem

![Graph of f', the derivative of f. The graph is symmetric about the y-axis, peaking at x=0. It crosses the x-axis at approximately x=-3 and x=3. The graph is positive between x=-3 and x=3, and negative elsewhere. The graph is concave down for x < -2 and x > 2, and concave up for -2 < x < 2.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260110T055645Z/d7349473364f418e908f2f3052fa9bd5/af698911af79eda52d75f9ba4964aeb7_img.jpg) The graph of f′f' , the derivative of the function ff , is shown above. Which of the following statements must be true? I. ff has a relative minimum at x=−3x = -3 . II. The graph of ff has a point of inflection at x=−2x = -2 . III. The graph of ff is concave down for 0<x<40 < x < 4 .

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