A function is given by a table of values, a graph, a formula or a verbal description. Determine whether it is one-to-one.
8.
Whether the function given by a graph is one-to-one.
Answer to Problem 8E
The function is not a one-to one function.
Explanation of Solution
Horizontal line test states that the graph of the function is one-to-one function if and only if a horizontal line intersects the graph exactly once.
Perform the horizontal line test for the given graph.
Draw a horizontal line such that it passes through the curve as shown in Figure 1.
It is observed from Figure 1, the horizontal line intersects the curve at two distinct points, which means it fails the horizontal line test. Therefore, the function given by a graph is not a one-to-one function.
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Mathematics for Calculus - 6th Edition
Precalculus: A Unit Circle Approach
Calculus: Early Transcendentals (2nd Edition)
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