ƒ (5)=(e) Move the points on the grid to sketch the function f.Y(-10, 1)is Choose one(-6, 1)42(1,3)65,4) Given the function f(x) = x³ + 3x² - 45x + 8 over the interval-10 ≤ x ≤ 5, answer the following questions.(a) Find f'(x) and f"(x).f'(x) =f"(x)(b) Find the critical points of f.x2 =X1=-=(c) Find any inflection points of f.X =(d) Evaluate f at its critical points and at the endpoints of the giveninterval. Identify local and global maxima and minima of f in theinterval.f(x₁) =f(x₂) =ƒ(-10) =is Choose oneis Choose oneis Choose one

Answered: Image /qna-images/answer/f9a28516-c364-4b87-a053-2d6eb9605f66.jpg

Answered: Given the function f(x) = x³ + 3x² −…

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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Given the function f(x) = x³ + 3x² − 45x + 8 over the interval -10 ≤ x ≤ 5, answer the following questions. (a) Find f'(x) and ƒ"(x). ƒ'(x) = f"(x) (b) Find the critical points of f. x1 = x2 = - (c) Find any inflection points of f. X =