Question

The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?

Answer 1

Answer:

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

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs.  Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.