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Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}

1 Answer

10 votes

Answer:

This mapping isn't a function.

Explanation:

A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form
\lbrace (x_(0),\, y_(0)),\, (x_(1),\, y_(1))\rbrace would map the input
x_(0) to output
y_(0) and map the input
x_(1) to output
y_(1).

A function is a mapping where each input is associated with exactly one output.

Note that both
(2,\, 1) and
(2,\, 4) are in the mapping given in this question. The input
2 is mapped to more than one outputs. Thus, this mapping isn't a function.

User Mutiemule
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