raph the function y=x²-12x² = x²(x²-12) by identifying the domain and any symmetries, finding the derivatives y' and y'", finding the critical points and identifying the function's behavior at ach one, 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 such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any. D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Graph the function y=x-12x² = x²(x²-12) 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 one, 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 such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.
Transcribed Image Text:Graph the function y=x-12x² = x²(x²-12) 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 one, 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 such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any.
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