SHOW ALL YOUR WORK!

Given $f(x)=\frac{1}{2x}$

a$)$ Sketch a graph of this function.

b$)$ What is the Domain and Range of this function?

c$)$ Find $\underset{x{0}^{+}}{lim}f(x)=$

$\underset{x{0}^{-}}{lim}f(x)=$

d$)$ Does $\underset{x0}{lim}f(x)$ exist? Explain.

e$)$ Find $f(0).$

f$)$ Determine if $f(x)$ is continuous at $x=0.$ Explain.

$3.(6$ points$)$ Find the limit of the following:

a$)\underset{x8}{lim}\frac{x-8}{x}=$

$3$a$)$

b$)\underset{x0}{lim}(5x-6)=$

$3$b$)$

$4.(14$ points$)$ Refer to the graph of $f(x)$ to determine each value if it exists. If it does not exist, write DNE.

A$.($