Define a binary relation P from R to R as follows: for all real numbers x and y,
(π₯, π¦) β π β π₯ = π¦
2
. Is P a function? Explain.
For all real numbers x and y,
P is not a function. For example, "(4,2)\\in R" and also "(4,-2)\\in R" , but "2\\neq -2"
In other words, an element of the domain is mapped (related) to two different elements of the codomain. So, that's why P is not a function because it doesn't satisfy the property of function.
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