Question

Give an example of a relation that is a function and explain why it is a function.

Answer 1

How about \(x\mapsto0\)? It's a function because every \(x\) is only mapped to *one* output. Consider, instead, a relation that is *not* a function, e.g. \(\left\{(0,0),(0,1),(1,0)\right\}\) for domain and codomain \(\{0,1\}\).

Answer 2

Notice that the relation associates \(0\) to two different values and is thus not a function.

Answer 3

bro honestly i dont know what the fuggg am suppost to do @oldrin.bataku

Answer 4

lol here a easier one
y = x
it's a function because for any value of x, there is only one corresponding y value.

Answer 5

A relation is a set of ordered pairs. A function is a relation (a set of ordered pairs) in which no two ordered pairs have the same first number.

Answer 6

So here is a set of ordered pairs: {(3,2) (2,-8 )( 5,0) (160,3)}
That relation is a function because no two ordered pairs have the same first number.