Let f(x) be a polynomial function such that f(3)=3, f'(3)=0 and f"(3)=-3. What is the point (3,3) on the graph y=f(x)?

Question

A. Relative maximum
B. Relative minimum
C. Intercept
D. Inflection point
E. None of these

I got C

Answer 1

clearly (3,3) is no kind of intercept!!

Since f'=0 and f"<0, it is a relative max.