Chapter 12.4, Problem 3E

In Exercises 1–26, sketch the graph of the given function, indicating (a) x- and y-intercepts, (b) extrema, (c) points of inflection, (d) behavior near singular points of $f$, and (e) behavior at infinity. Where indicated, technology should be used to approximate the intercepts, coordinates of extrema, and/or points of inflection to one decimal place. Check your sketch using technology. [HINT: See Example 1.]

$g\left(x\right)=x^3-12x,\text{ domain }\left[-4,4\right]$