urgent calculus help please

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.

Just graph f(x) = x³-2x²+1 and the 1^st and 2^nd derivative and ask yourself these questions.