BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.1, Problem 8E
To determine

Whether the given curve is the graph of a function of x. If so, find the domain and range of the function.

Expert Solution

Answer to Problem 8E

The curve is not a function of x.

Explanation of Solution

The Vertical line test states that the curve in the xy coordinate plane is a graph of the function of x if and only if a vertical line intersects the curve exactly at one point.

Perform the vertical line test for the given graph.

Draw a vertical line in such a way that it passes through the curve as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 8E

From Figure 1, it is observed that the vertical line intersects the curve at two distinct points, which means it fails the vertical line test.

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

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!