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10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal places if necessary (b) Find the critical numbers of f. Show work using calculus. (c) Find the open intervals where the function is increasing or decreasing. Show work using calculus. (d) Identify all relative extrema. Show work using calculus. (e) Find the open intervals where the function is concave up and down. Show work using calculus. (f) Find the points of inflection of the function. Show work using calculus.

10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal places if necessary (b) Find the critical numbers of f. Show work using calculus. (c) Find the open intervals where the function is increasing or decreasing. Show work using calculus. (d) Identify all relative extrema. Show work using calculus. (e) Find the open intervals where the function is concave up and down. Show work using calculus. (f) Find the points of inflection of the function. Show work using calculus.

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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Q10. Please help with this problem, thank you! 

10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal places if necessary (b) Find the critical numbers of f. Show work using calculus. (c) Find the open intervals where the function is increasing or decreasing. Show work using calculus. (d) Identify all relative extrema. Show work using calculus. (e) Find the open intervals where the function is concave up and down. Show work using calculus. (f) Find the points of inflection of the function. Show work using calculus. (g) Draw a sketch of the function. Label and scale the axes.
Transcribed Image Text:10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal places if necessary (b) Find the critical numbers of f. Show work using calculus. (c) Find the open intervals where the function is increasing or decreasing. Show work using calculus. (d) Identify all relative extrema. Show work using calculus. (e) Find the open intervals where the function is concave up and down. Show work using calculus. (f) Find the points of inflection of the function. Show work using calculus. (g) Draw a sketch of the function. Label and scale the axes.
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