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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

The range of the function.

The range of the function.

Algebra and Trigonometry: Structure and Method, Book 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Question

Chapter 3.8, Problem 4WE

To determine

To find: The range of the function.

Expert Solution & Answer

Answer to Problem 4WE

The range of given function is {0, 1}.

Explanation of Solution

Given Information: - We are given a function f:x→1−x2 and Domain D = {-1, 0}.

The function is

f:x→1−x2f(x)→1−x2

Substitute the values of x=−1,0

Then f(−1)=1−(−1)2

=1−1=0

f(0)=1−(0)2

=1−0=1

f(1)=1−(1)2

=1−1=0

Thus, the range of given function is {0, 1}.

Chapter 3.8, Problem 3WE

Chapter 3.8, Problem 5WE

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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