F$4$: Identify features of a function given as a graph including the domain and range, the intercepts, the local and absolute maxima or minima, the intervals where the function is increasing$/$decreasing$,$ and the intervals where the function is positive$/$negative$.$

Answer the following questions dealing with Standard F$4.$ You must show understanding in all questions and all parts to pass this standard on this assessment.

Given the graph of the function $g(x)$ below, find the following or state that they do not exist.

a$.$ The domain in the interval notation.

b$.$ The range in the interval notation.

c$.$ For what value$($s$)$ of $x$ does $g(x)=-4?$

d$.$ The local minimum value of $g(x).$

e$.$ All domain intervals on which $g(x)$ is increasing.

f$.$ All domain intervals on which $g(x)$ is positive.