Question

f(x) is a polynomial function such that f(-2)=5, f'(-2)=0, and f''(-2)=+3. The point (-2,5) must be an _______ of the graph of f(x)
A) relaltive max
B) intercept
C) point of inflection
D) relative min

Answer 1

since f'=0 and f''>0, the graph is concave up at x=-2, and we have a relative minimum.