Given the following function: $f(x)=x^3-12x(16$ points total$)$

a$.$ for what values of $x$ is the function increasing?

b$.$ for what values of $x$ is the function decreasing?

c$.$ find any maxima or minima.

d$.$ for what values of $x$ is the function concave up$?$

e$.$ for what values of $x$ is the function concave down?

f$.$ find any points of inflection.

g$.$ sketch the function below.