Answer to Question #201043 in Discrete Mathematics for Umair

Question #201043

Define a binary relation P from R to R as follows: for all real numbers x and y,

(π‘₯, 𝑦) ∈ 𝑃 ⇔ π‘₯ = 𝑦

2

. Is P a function? Explain.


1
Expert's answer
2021-06-01T08:17:37-0400

For all real numbers x and y,


"(x,y)\\in P\\ \\Leftrightarrow x=y^2"

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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Comments

Umair
01.06.21, 15:23

Thank you so much

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