What characteristic is true for all relations that are functions

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06-03-2021
Mathematics

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What characteristic is true for all relations that are functions

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Facundo3141592idn Facundo3141592idn · Answer 1 · 2021-03-11T19:08:34-05:00

Answer: First option, the graph of the relation passes the vertical line test.

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the x-values) into elements from another set (the range, the y-values)

Where the only condition we have is that each element from the domain can be mapped into only one element from the range.

So if we draw a vertical line at any point of the graph, it can intersect the graph of the function a maximum of one time. (this is known as the vertical line test)

Then the correct option is that the graph of the relation passes the vertical line test.

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