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Harlamova29_29 [7]
2 years ago
8

Which of the following graphs represents a function?

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0

For something to be a function, each input (x value) can only have ONE output (y value)

If an input has multiple outputs, it is not a function.    

so the last graph represents a function (parabola going down)

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Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.

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Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!

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