Easy# Function for All Real Numbers

APCALC-81NOWI

A continuous function $f(x)$ is defined on the set of all real numbers. Consider the closed interval $[a, b]$, with $ a < c < b $.

If $f’ (c) = 0$ and $f'' (x) > 0$ on the interval $[a,\,b]$, then which of the following must be TRUE?