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Let f(x) = −x^3 + 5x + 1. Tick all the boxes below corresponding to true statements. There is more than one true option.

Let f(x) = −x^3 + 5x + 1. Tick all the boxes below corresponding to true statements. There is more than one true option.

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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Let f(x) = −x^3 + 5x + 1. Tick all the boxes below corresponding to true statements. There is more than one true option.

 

O f(x) has a local minimum at x = – In the interval -3 < x < 3 the function f(x) has its minimum at x = 3. O f (x) has extrema at x = 3 In the interval -2 < x < 2 the function f(x) has both its minimum and local minimum at x = O In the interval -3 < x < 2 the function f(x) has both its maximum and local 5 maximum at x = O f (x) has one inflexion point at x = 1.
Transcribed Image Text:O f(x) has a local minimum at x = – In the interval -3 < x < 3 the function f(x) has its minimum at x = 3. O f (x) has extrema at x = 3 In the interval -2 < x < 2 the function f(x) has both its minimum and local minimum at x = O In the interval -3 < x < 2 the function f(x) has both its maximum and local 5 maximum at x = O f (x) has one inflexion point at x = 1.
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