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
Answers
Answered by
14
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 .
: )
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 .
: )
Answered by
8
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.
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.
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