Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each on finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points suc intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.

Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the derivatives y' and y", finding the critical points and identifying the function's behavior at each on finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points suc intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.6: More On Graphing Rational Functions

Problem 28PS

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