How do I solve this type of function? Explanations are greatly appreciated. I would like to understand the context as much as I can. Thank you very much.

Consider the following function: f(x) = Dom(f) = {x x# 12) . x2- 4 Assume that f satisfies the following 5 conditions: (a) Decreasing between -co and -8. (b) Increasing between -8 and -2. (c) Increasing between -2 and - (d) Decreasing between -, and 2. (e) Decreasing between 2 and too. Sketch the graph of f