Moderate# Given a Graph, Determine Whether Statements Are True or False

APCALC-5NGEJJ

Consider the graph of $f(x)$ shown below. Which of the following are **TRUE**?

I.$f’(0)$ existsII.$\lim \limits_{x \to 0^-} f(x)= \lim \limits_{x \to 0^+} f(x)$III.$f’(x) \gt 0$ for $-3 \lt x \lt 0$