Chapter CR, Problem 3CR

  $\left(a\right)$

To determine

To graph: Sketch the graph of the function $g\left(x\right)=\left\{\begin{array}{l}9-x^2,x\le 1,\\ x+7,x>1.\end{array}\right.$ .

  $\left(b\right)$

To determine

To evaluate: Find the value of the limit $\underset{x\to 1}{\lim }g\left(x\right)$ where $g\left(x\right)=\left\{\begin{array}{l}9-x^2,x\le 1,\\ x+7,x>1.\end{array}\right.$ .

  $\left(c\right)$

To determine

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

  $\left(d\right)$

To determine

To find: Is the function $g\left(x\right)=\left\{\begin{array}{l}9-x^2,x\le 1,\\ x+7,x>1.\end{array}\right.$ is continuous at $x=1$ or not.