Analyze the function

Remaining Time: Unlimited

$f(x)=\{\begin{array}{cc}\frac{1}{2}x+7,& x<mn>2</mn>\\ \sqrt[\phantom{2}]{2x}+6,& x2\end{array}$

Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing.

Part $1$:

Is $f(x)$ continuous at $x=2?$ Explain why or why not in your Discussion post

Yes

No

Part $2$:

Is $f(x)$ differentiable at $x=2?$ Explain why or why not in your Discussion post.

Yes

No