Answer Yes, the given curve is the graph of a function as it satisfies the vertical line test. Explanation Given information: The given curve is: Draw a vertical line in x y -plane of the given graph. From the above graph it can be seen that the line intersect the curve at only one point. So, it satisfies the vertical line test. Therefore, the given curve is 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 38E

To determine

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

Expert Solution & Answer

Answer to Problem 38E

Yes, the given curve is the graph of a function as it satisfies the vertical line test.

Explanation of Solution

Given information: The given curve is:

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.2, Problem 38E , additional homework tip 1

Draw a vertical line in xy -plane of the given graph.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.2, Problem 38E , additional homework tip 2

From the above graph it can be seen that the line intersect the curve at only one point. So, it satisfies the vertical line test.

Therefore, the given curve is the graph of a function.

Chapter 1.2, Problem 37E

Chapter 1.2, Problem 39E

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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