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

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Solution

Image of $2$ is $1$
Image of $3$ is $4$
Image of $1$ is $4$
Image of $4$ is $4$
.Each element has a image.This is a function .

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Similar questions

Q. Let

X = {1, 2, 3, 4}

.Determine whether

f = {(1, 4), (2, 3), (2, 1), (3, 1), (4, 4)}

are functions from

X

X

Q. Let

X = {1, 2, 3, 4}

. Examine whether the relation given below is a function from

X

X

or not. Explain.

f = {(2, 3), (1, 4), (2, 1), (3, 2), (4, 4)}

Let X = {1, 2, 3, 4} and Y = {1, 5, 9, 11, 15, 16}
Determine which of the following sets are functions from X to Y.
(i) $f_{1} = {(1, 1), (2, 11), (3, 1), (4, 15)}$
(ii) $f_{2} = {(1, 1), (2, 7), (3, 5)}$
(iii) $f_{3} = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}$

Q. If

x, y \in {1, 2, 3, 4}

then check whether

f = {(x, y) : y = x + 1}

is a function?

Q. If

x, y \in {1, 2, 3, 4}

then check whether

f = {(x, y) : x + y > 4}

is a function?

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

Image of 2 is 1Image of 3 is 4Image of 1 is 4Image of 4 is 4.Each element has a image.This is a function .

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

Image of $2$ is $1$
Image of $3$ is $4$
Image of $1$ is $4$
Image of $4$ is $4$
.Each element has a image.This is a function .