Consider the function f(x)=x³-2-x+2 that has exactly one root. Which of the following intervals should the root be in?

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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**Exercise 10**

Consider the function \( f(x) = x^3 - 2 \cdot x + 2 \) that has exactly one root. Which of the following intervals should the root be in?

- \((-2.5, -2)\)
- \((-2, -1.5)\)
- \((-1.5, -1)\)
- \((-1, 0)\)
Transcribed Image Text:**Exercise 10** Consider the function \( f(x) = x^3 - 2 \cdot x + 2 \) that has exactly one root. Which of the following intervals should the root be in? - \((-2.5, -2)\) - \((-2, -1.5)\) - \((-1.5, -1)\) - \((-1, 0)\)
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