Whether the statement, a vertical line intersects the graph of a function at most once is true or false.

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, Problem 5RQ
To determine

Expert Solution

Answer to Problem 5RQ

Solution: The statement is true.

Explanation of Solution

Vertical line is used to analyze whether the given graph is a function or not. If a graph intersects any vertical line at once, then the graph represents a function. If it intersects more than once, then the graph is not a function.

Notice from the given statement that the graph represents a function. Thus, it intersects the vertical line at most once.

Therefore, the given statement is true.

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