Calc

The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false?

The graph of f is always concave up.

The graph of f has an inflection point at x = 0.

The graph of f has a relative minimum at x = 0.

The graph of the second derivative is always positive.

  1. 👍 0
  2. 👎 0
  3. 👁 268
  1. consider the case

    f'(x) = x

    1. 👍 0
    2. 👎 2
    posted by Steve

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