Question

An example for a function which is not a relation, (Domain R, Codomain R)
a) y=x
b) y=x-1
c) y=x^2
d) not possible

Answer 1

Hi ,

Option ( d ) is correct .

* Every function is a relation.

 

** A function from set A to the set B is a relation which 

associates every element of a set A to unique element 

of set B .

Note : Every function is a relation but every relation need

not be a function . 

I hope this helps you .

: )

Answer 2

Answer : (d)

Exaplantion :- actually , every function is a relation when each input has only one out put . I mean each value of set A has a value of set B , for a function f:A---->B
You can understand it better by graphical .
Take a function y = x² , as shown in attachment now, draw a vertical line you see line cut it only one point , means for a value of x , y has unique . Hence, y = x² is a function . And we know every function is the relation so, y = x² is relation.
Similarly you can observe in case of y = x and y = x -1 both are relations .

So, the answer is (d) not possible.