Let X-1-2-3 and Y-4-5- Find whether the following subsets of X - Y are functions from X to Y or not- i g -1-4-2-4-3-4

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Evaluation of a Determinant

Let X=1,2,3 a...

Question

Let X={1,2,3} and Y ={4,5}. Find whether the following subsets of $X \times Y$ are functions from X to Y or not.
(i)g={(1,4),(2,4),(3,4)}

Open in App

Solution

Given that, X ={1,2,3}and Y ={4,5}
$X \times Y = (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)$
(ii)g={(1,4),(2,4),(3,4)}
Since, g is a function as each element of the domain has unique image.

Suggest Corrections

Similar questions

Let X={1,2,3} and Y ={4,5}. Find whether the following subsets of $X \times Y$ are functions from X to Y or not.
(iii) h={(1,4),(2,5),(3,5)}

Let X={1,2,3} and Y ={4,5}. Find whether the following subsets of $X \times Y$ are functions from X to Y or not.
(iv) k={(1,4),(2,5)}

Let $X = 1, 2, 3$ and $Y = 4, 5$ . Find whether the following subsets of $X \times Y$ are functions from X to Y or not.

(i) $f = {(1, 4), (1, 5), (2, 4), (3, 5)}$

(ii) $g = {(1, 4), (2, 4), (3, 4)}$

(iii) $h = {(1, 4), (2, 5), (3, 5)}$

(iv) $k = {(1, 4), (2, 5)}$

Write the following relations as sets of ordered pairs and find which of them are functions :
(i) ${(x, y) : y = 3 x, x ϵ (1, 2, 3), y ϵ (3, 6, 9, 12)}$
(ii) ${(x, y) : y > x + 1, x = 1, 2}$ and y = 2, 4, 6
(iii) ${(x, y) : x + y = 3, x, y ϵ {0, 1, 2, 3}}$