State, whether the following relations are functions? Give reason.
${(3, \frac{1}{3}), (4, \frac{1}{4}), (5, \frac{1}{5}) . . . . .}$

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Solution

$R = {(3, \frac{1}{3}), (4, \frac{1}{4}), (5, \frac{1}{5}) . . . .}$
$x = {3, 4, 5, 6.. . .}$
$y =$ $\frac{1}{x}$ illustrates the given relation.
Yes the given relation is a function.

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Similar questions

(i) R = {(2, 1), (3, 1), (4, 2)}

(i i) R = {2, 2), (2, 4), (3, 3), (4, 4)}

(i i i) R = {1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}

(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)}

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)}

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