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A. Consider the function f(x) = x4 - 3x² - 6x² (a)Determine the domain of f(x) (b) Find the x-intercepts and y-intercepts of f(x) (c)Find f'(x)andf"(x)

A. Consider the function f(x) = x4 - 3x² - 6x² (a)Determine the domain of f(x) (b) Find the x-intercepts and y-intercepts of f(x) (c)Find f'(x)andf"(x)

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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A. Consider the function f(x) = x²-3x³ - 6x² (a)Determine the domain of f(x) (b) Find the x-intercepts and y-intercepts of f(x) (c)Find f'(x)andf"(x) (d) Find the critical numbers off and the critical number of f', if there are any. (e) Construct a table of values describing the behavior of the graph of f(x). (f) Sketch (by hand) the graph of f(x) based on the acquired table of values. B. Given the graph of the function f(x), construct a table of values containing the columns x, f(x), f'(x), f"(x), and conclusion (in terms of f(x)). Provide complete information in the table. (-1,2) N 10 7 (2,3)
Transcribed Image Text:A. Consider the function f(x) = x²-3x³ - 6x² (a)Determine the domain of f(x) (b) Find the x-intercepts and y-intercepts of f(x) (c)Find f'(x)andf"(x) (d) Find the critical numbers off and the critical number of f', if there are any. (e) Construct a table of values describing the behavior of the graph of f(x). (f) Sketch (by hand) the graph of f(x) based on the acquired table of values. B. Given the graph of the function f(x), construct a table of values containing the columns x, f(x), f'(x), f"(x), and conclusion (in terms of f(x)). Provide complete information in the table. (-1,2) N 10 7 (2,3)
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