Answer No, the given curve is not the graph of a function as it fails the vertical test. Explanation Given information: The given curve is: The y -axis of the graph is a vertical line. It meets the curve at two different points. So, the curve fails vertical line test. Therefore, the given curve is not the graph of a function.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Concept explainers

Domain

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 1.2, Problem 37E

To determine

To check: Whether the given curve is graph of the function or not.

Expert Solution & Answer

Answer to Problem 37E

No, the given curve is not the graph of a function as it fails the vertical test.

Explanation of Solution

Given information: The given curve is:

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.2, Problem 37E

The y -axis of the graph is a vertical line. It meets the curve at two different points.

So, the curve fails vertical line test.

Therefore, the given curve is not the graph of a function.

Chapter 1.2, Problem 36E

Chapter 1.2, Problem 38E

Chapter 1 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 1.1 - Prob. 1QR Ch. 1.1 - Prob. 2QR Ch. 1.1 - Prob. 3QR Ch. 1.1 - Prob. 4QR Ch. 1.1 - Prob. 5QR Ch. 1.1 - Prob. 6QR Ch. 1.1 - Prob. 7QR Ch. 1.1 - Prob. 8QR Ch. 1.1 - Prob. 9QR Ch. 1.1 - Prob. 10QR

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