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9 votes
9 votes
Which relation is a function?

Which relation is a function?-example-1
User Sidik
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2 Answers

21 votes
21 votes

A very easy way to find out if a graph is a function is to use the vertical line test.

Look at each graph and mentally draw a vertical line that goes through each of its points.

If that line goes through more than one point (2, 3, 4...) then that graph is not a function.

That's because a function, is an equation for which each input (x value) has exactly one output (y value). There cannot be two points of the same x value, with two different y values.

Which relation is a function?-example-1
Which relation is a function?-example-2
User Juan Fran Jimenez
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3.3k points
18 votes
18 votes

let's recall the vertical line test, if a vertical line hits the graph or points twice, then is NOT a function. Check the picture below.

Which relation is a function?-example-1
User Bobbogo
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3.1k points