Question

If the graph of f ′(x) is continuous and decreasing with an x-intercept at x = c, which of the following must be true?

The graph of f has a relative maximum 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

The slope is zero at x = c
If it continues to decrease after that then that must have been an inflection point where it leveled out, then resumed its dive.

Answer 2

so B

Answer 3

Yes :) That would be my pick.

Answer 4

It should be A