Complete a thorough curve analysis of the function ?(?) =?4 − 12?3 +48?2 − 64?.
Follow the Algorithm for Curve Sketching as outlined in Section4.5 of your textbook. You are expected to clearly demonstrate allaspects of the curve analysis, summarize your results clearly, anddraw (by hand) an accurate sketch of the function with all keypoints labelled on the sketch. Show all algebraic steps to yourprocess clearly. Annotate your work to demonstrate what informationis gained from each part of the process. State conclusionsclearly.
This task does ask you to demonstrate clearly how the functionequation, the first derivative, and the second derivative can allbe used to fully understand all important characteristics of thegraph.
