$(1$ point$)$ Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement.

$1.\underset{x{8}^{+}}{lim}f(x)$ and $\underset{x{8}^{-}}{lim}f(x)$ both exist and are finite, but they are not equal.

$2.$ The graph of $y=f(x)$ has vertical tangent line at $(8,f(8))$

$3.\underset{x{8}^{-}}{lim}f(x)=-.$

$4.\underset{x{8}^{+}}{lim}f(x)$ exists but $\underset{x{8}^{-}}{lim}f(x)$ does not.

$5.\underset{x8}{lim}f(x)=.$

$6.\underset{x8}{lim}f(x)$ exists but $f$ is not continuous at $8.$

A$.f(x)=\{\begin{array}{ccc}2x& if& x<mn>8</mn>\\ 0& if& x=8\\ 32-2x& if& x>8\end{array}$

B$.f(x)=\frac{1}{(x-8{)}^2}$

c$.f(x)=\sqrt[3]{x-8}$

D$.f(x)=\{\begin{array}{ccc}cos(\frac{1}{x-8})& if& x<mn>8</mn>\\ 0& if& x=8\\ 2x+32& if& x>8\\ 2x& if& x<mn>8</mn>\\ & E.& f(x)=\{\begin{array}{ccc}0& if& x=8\\ 2x-32& if& x>8\end{array}\\ & F.& f(x)=\frac{1}{x-8}\end{array}.$