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Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not?(i) `R= {(2, 1), (3,1), (4,2)}`, (ii) `R= {(2, 2), (2, 4), (3,3), (4,4)}`(iii) `R= {(1, 2

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The correct Answer is:
(i) It is a function , Domain ={2,3,4}, Range={1,2}.
It is not a function.
(iii) It is not a function, Domain={1,2,3,4,5,6}, Range ={2,3,4,5,6,7}.
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Examine each of the following relations given below and state in each case,giving reasons whether it is a function or not? (i) R={(2,1),(3,1),(4,2)} (ii) R={(2,2),(2,4),(3,3),(4,4)}R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Which of the following relations are functions? Give reason. If it is a function, determine its domain and range. (i) R= {(2,1), (3,1), (4,2), (5,7), (6,9)} (i) R = {(2,2), (2,4),(3,3),(4,4),(5,8)} (iii) R={(1,3),(1,5),(2,5),(3,6),(3,7)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range: (i) {(2,1), (3,1),(4,2)} (ii) {(2,2),(2,4),(3,3),(4,4)} (iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)} (iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (v){(2,1),(4,2),(6,3),(8,4),(10,5)} (vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

Let A = {2, 3, 5, 8} and B = {4, 27, 125, 512}, then which of the following are relations from A to B ? Give reasons for your answer. (i) R_(1) = {(2, 4), (3, 125), (8, 512)} (ii) R_(2) = {(2, 125), (512, 8), (3, 27)} (iii) R_(3) = {(2, 512), (3, 125), (3, 4)} (iv) R_(4) = {(2, 512), (3, 125), (3, 4)}

Let A = {1, 2, 3, 4}. Examine which of the following relations is a function from A to A ? (i) f = {(1, 1), (2, 3), (3, 4), (4, 4)} (ii) g = {1, 4), (2, 3), (3, 4)}

If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B? (i) f={(1,2),(2,3),(3,4)} (ii) g={(1,2),(1,3),(2,3),(3,4)} (iii) h={(1,3),(2,4)}

By plotting the following points check whether they are collinear or not (i) (1,1), (2,2),(4,4) (ii) (1,0), (-3,0), (0,0) (iii) (2,-2), (0,0), (-3,4)

LetR be the relation on the seM = {1, 2, 3, 4} given by R = {(1,2), (2,2), (1,1), (4,4), (1,3), (3, 3), (3,2)}. Then

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