Difficult# Graph of a Minimum

APCALC-GKJIRO

Let $f(x)$ be a continuous function on the interval $( -10, 10 ) .$

If $f(x)$ has a relative maximum at $( 2, \, f( 2 ) )$, which of the following statements must be true?

I.$f(0) < f(4)$II.$f’’(2) < 0$III.$x=2$ is in the domain of $f(x)$.