analyze the function f$($x$)=\{1/2$x$+11.$ x$<8,$ sqrt$(8$x$)+7,$ x$8$ Part $1$: is f$($x$)$ continuous at x$=8?$ Explain why or why not in your discussion post. Part $2$: Is f$($x$)$ differentiable at x$=8?$ Explain why or why not in your discussion post.