Chapter CR, Problem 5E

(a)

To determine

To graph: The provided function $g\left(x\right)=\{\begin{array}{l}9-x^2\text{ for }x\le 1,\\ x+7\text{ for }x>1\end{array}$

(b)

To determine

To calculate: The value of the limit $\underset{x\to 1}{\lim }g\left(x\right)$.

(c)

To determine

To calculate: The value of $g\left(1\right)$ if $g\left(x\right)=\{\begin{array}{l}9-x^2\text{ for }x\le 1,\\ x+7\text{ for }x>1\end{array}$.

(d)

To determine

If $g$ is continuous at $x=1$ if $g\left(x\right)=\{\begin{array}{l}9-x^2\text{ for }x\le 1,\\ x+7\text{ for }x>1\end{array}$.