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Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or decreasing. b) Find the intervals on which this funcion is Con cave Op or concave down. C) Deter mine the points at which this function has a local maximum, a local minimum, or a point of reflection. d) Sketch a graph of this function making sure to label the oints fou nd in part C.

Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or decreasing. b) Find the intervals on which this funcion is Con cave Op or concave down. C) Deter mine the points at which this function has a local maximum, a local minimum, or a point of reflection. d) Sketch a graph of this function making sure to label the oints fou nd in part C.

Calculus: Early Transcendentals
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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Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or decreasing. b) Find the intervals on which this function is Con cave Up or concave down. C) Deter mine the points at which this function has a local maximum, a local minimum, or a point Of reflection. d) Sketch a graph of this Punctron making sure to label the oints fou nd in part C.
Transcribed Image Text:Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or decreasing. b) Find the intervals on which this function is Con cave Up or concave down. C) Deter mine the points at which this function has a local maximum, a local minimum, or a point Of reflection. d) Sketch a graph of this Punctron making sure to label the oints fou nd in part C.
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