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-x for x < 0 f(x) = for the interval[-1,1]. x' +1 for x > 0

-x for x < 0 f(x) = for the interval[-1,1]. x' +1 for x > 0

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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Determine whether or not the /VT applies to show that the givenfunction takes on all values between f(a) and f(b)for x E [a, b]. If it does not apply, determine any values between f(a) and f(b) that the function does not take on for x E [a, b ].

-x for x < 0 f(x) = for the interval[-1,1]. x' +1 for x > 0
Transcribed Image Text:-x for x < 0 f(x) = for the interval[-1,1]. x' +1 for x > 0
Expert Solution
Step 1

We have given the function;

test

Intermediate value theorem(IVT) states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.

Step 2

Now we solve for the given function.

Calculus homework question answer, step 2, image 1

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