Question

A = { 1,2,3} f= {(1,1)(1,2)(2, l)then on A f i will give 50point if u answer this pls ​

Answer 1

Answer:

Hence every element 1,2,3 has either of image 1,2,3 and that image is unique.

In each case, every image has a corresponding element.

Hence, function f:A→A is onto.

Step-by-step explanation:

We have, A={1,2,3}

Function f:A→A

∴ Function f:{1,2,3}→{1,2,3}

Since f is one-one.

(i) f(1)=1,f(2)=2,f(3)=3

(ii) f(1)=1,f(2)=3,f(3)=2

(iii) f(1)=2,f(2)=3,f(3)=1

(iv) f(1)=2,f(2)=1,f(3)=3

(v) f(1)=3,f(2)=1,f(3)=2

(vi) f(1)=3,f(2)=2,f(3)=1

Hence every element 1,2,3 has either of image 1,2,3 and that image is unique.

In each case, every image has a corresponding element.

Hence, function f:A→A is onto.