Which Of The Following Relation Is Are Function

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Which Of The Following Relation Is Are Function. In order for a relation to be a function the order of numbers must be constant from the input to the output. In other words a function f is a relation such that no two pairs in the relation has the same first element.

Relations Functions Domain And Range Task Cards By All Things Algebra Task Cards Functions Math Relatable
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For a relation to be considered a function the x value should result to only one y value so if an x value occurs more than once in a relation then it is not a function. A function is considered a function when its plot passes the vertical line test which means no two points should lie on the same vertical line. A function is a relation in which each input has only one output.

Here domain 258111417 and range 1 ii 21426384105126147.

Hence they have unique images. This means this relation is a function. The other numbers do not have a consistent value but the one on the far left is x5 and y-5 and it continues this way throughout the relation. Hence this relation is not a function.