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Which is true for the function f(x) = x³ + x – 1? O a. f(x) has a root in (0, 1). cross out O b. f(x) has a root in cross out

Which is true for the function f(x) = x³ + x – 1? O a. f(x) has a root in (0, 1). cross out O b. f(x) has a root in cross out

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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Question
Which is true for the function f(x) = x³ + x – 1? - a. f(x) has a root in cross out (0, 1). O b. ƒ(x) has a root in (-1,0). cross out O c. f(x) has a root in (-1,0) and (0, 1). cross out O d. f(x) has a root in (1, 2). cross out e. f(x) has a no cross out roots. Check
Transcribed Image Text:Which is true for the function f(x) = x³ + x – 1? - a. f(x) has a root in cross out (0, 1). O b. ƒ(x) has a root in (-1,0). cross out O c. f(x) has a root in (-1,0) and (0, 1). cross out O d. f(x) has a root in (1, 2). cross out e. f(x) has a no cross out roots. Check
Expert Solution
Step 1

For simplicity, we will be plotting the function to get the roots and the intervals at which it is present.

So, the graph looks like the following.

Calculus homework question answer, step 1, image 1Calculus homework question answer, step 1, image 2

From the above graph, we can see that the function has a root in (0, 1).      

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