Chapter 13, Problem 12CT

(a)

To determine

Whether $f$ is continuous at $x=-2$ by using the graph of $y=f\left(x\right)$. If it is not continuous then explain why not.

The graph of $y=f\left(x\right)$ is,

(b)

To determine

Whether $f$ is continuous at $x=1$ by using the graph of $y=f\left(x\right)$. If it is not continuous then explain why not.

The graph of $y=f\left(x\right)$ is,

(c)

To determine

Whether $f$ is continuous at $x=3$ by using the graph of $y=f\left(x\right)$. If it is not continuous then explain why not.

The graph of $y=f\left(x\right)$ is,

(d)

To determine

Whether $f$ is continuous at $x=4$ by using the graph of $y=f\left(x\right)$. If it is not continuous then explain why not.

The graph of $y=f\left(x\right)$ is,