Question

Which of the following sets represents the relation f:x→2x+3?
A {(0,3), (1, 6), (2, 9), (3, 12)}
B {(0,3), (1,5), (2, 6), (3, 8)}
C {(0,3), (1, 4), (2, 5), (3, 6)}
D {(0, 3), (1, 5), (2, 7), (3,9)}

Answer 1

Answer:

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

It is a function as every input has a single output.

So, 2,5,8,11,14 and 17 are the elements of the domain of the given relation.

Here domain ={2,5,8,11,14,17} and range ={1}

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

It is a function as every input has a single output.

So, 2,4,6,8,10,12 and 14 are the elements of the domain of the given

relation.

Here domain ={2,4,6,8,10,12,14} and range ={1,2,3,4,5,6,7}

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