Answer
a. $ -3 $
b. $ -3$
c. $ -3$
d. $g$ is continuous at $x=0$
Work Step by Step
From the given figure, we get
a. $\lim _{x \rightarrow 0^{-}} g(x)=-3 $
b. $\lim _{x \rightarrow 0^{+}} g(x)=-3$
c. $ g(0)=-3$
d. $g$ is continuous at $x=0$ because $$\lim _{x \rightarrow 0^{+}} g(x)=\lim _{x \rightarrow 0^{-}} g(x)=g(0)$$
