Is the relation ${(3, 7), (4, 7), (5, 7), (7, 7), (8, 7)}$ a function. Give reason

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Solution

$R = (3, 7), (4, 7), (5, 7), (7, 7), (8, 7)$
In the given relation every element of A has a unique image in B.So R is a function.

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Similar questions

Which of the following relations are functions? Give reasons. If it is a function determine its domain and range.

(i) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

(ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

(iii) {(1, 3), (1, 5), (2, 5)}

(i) {(2, 1), (5, 1), (8, 1), (11, 1) (14, 1), (17, 1)}

(i i) {(2, 1), (4, 2), (6, 3), (8, 4) (10, 5), (12, 6), (14, 7)}

(i i i) {(1, 3), (1, 5), (2, 5)}

{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

{(1, 3), (1, 5), (2, 5)}

X = {1, 2, 3, 4, 5}, Y = {1, 3, 5, 7, 9}

X

Y

{(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)}

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