Which answer is correct and why?   What is the horizontal line test and what does it indicate?   A.) A function f has an inverse that is a function, f^-1, if there is no horizontal line that intersects the graph of the function f at more than one point. It indicates that the function is one-to-one.   B.) A function f has an inverse that is a function, f^-1, if there is a horizontal line that intersects the graph of the function at least twice. It indicates that the function is not one-to-one. One of these answers is correct, and the other answer is incorrect. But my English brain cannot tell the difference. They

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which answer is correct and why?
 
What is the horizontal line test and what does it indicate?
 
A.) A function f has an inverse that is a function, f^-1, if there is no horizontal line that intersects the graph of the function f at more than one point. It indicates that the function is one-to-one.
 
B.) A function f has an inverse that is a function, f^-1, if there is a horizontal line that intersects the graph of the function at least twice. It indicates that the function is not one-to-one.
One of these answers is correct, and the other answer is incorrect. But my English brain cannot tell the difference. They appear to say the same thing. I do not understand.
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