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- iv k -1-4-2-5

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Standard XII

Mathematics

Test for Collinearity of Vectors

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

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Solution

Given that, X ={1,2,3}and Y ={4,5}
$X \times Y = (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)$
(iv) k={(1,4),(2,5)}
k is not a function as 3 has not any image under the mapping.

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

Given that, X ={1,2,3}and Y ={4,5} X×Y=(1,4),(1,5),(2,4),(2,5),(3,4),(3,5) (iv) k={(1,4),(2,5)} k is not a function as 3 has not any image under the mapping.

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)}

Given that, X ={1,2,3}and Y ={4,5}
$X \times Y = (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)$
(iv) k={(1,4),(2,5)}
k is not a function as 3 has not any image under the mapping.