Question

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?

The graph of f has an x-intercept at x = c.
The graph of f has an inflection point at x = c.
The graph of f has a relative minimum at x = c
None of the above is necessarily true.

Answer 1

None of the above is necessarily true.

Explanation:

I've attached an example of such a function to show this.