Let f(x) be a polynomial function such that f(-2)=5, f’(-2)=0 and f”(-2)=3. The point (-2, 5) is which of the following for the graph of f?

A. relative maximum
B. relative minimum
C. intercept
D. inflection point
E. none of these

1 answer

since f'(-2)=0 and f"(-2)>0, (-2,5) is a minimum. (f is concave up there)