2018 TWO(c)

The diagram below shows the graph of the function $y=f(x)$.

For the function above:

(i) What is the value of $f(1)$?
State clearly if the value does not exist.

(ii) For what value(s) of $x$ does the function $f(x)$ not have a limit?

(iii) Find all the value(s) of $x$ that meet the following conditions:

(1) $f^{\prime }(x)>0$:

(2) $f^{\prime }(x)=0$ and $f^{\prime \prime }(x)<0$:

(3) $f(x)$ is continuous but not differentiable: