Let $X = {1, 2, 3, 4}$ .Determine whether $f = {(1, 4), (2, 3), (2, 1), (3, 1), (4, 4)}$ are functions from $X$ to $X$

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Solution

Image of $1$ is $4$

Image of $2$ is $3$

Image of $2$ is $1$

Image of $3$ is $1$

Image of $4$ is $4$

This is not a function because $2$ has two images.

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Let X={1,2,3,4}.Determine whether f={(1,4),(2,3),(2,1),(3,1),(4,4)} are functions from X to X

Image of 1 is 4Image of 2 is 3Image of 2 is 1Image of 3 is 1Image of 4 is 4This is not a function because 2 has two images.

Let $X = {1, 2, 3, 4}$ .Determine whether $f = {(1, 4), (2, 3), (2, 1), (3, 1), (4, 4)}$ are functions from $X$ to $X$

Image of $1$ is $4$

Image of $2$ is $3$

Image of $2$ is $1$

Image of $3$ is $1$

Image of $4$ is $4$

This is not a function because $2$ has two images.