Question

Let ={1 ,2 ,3 ,4} ;= {1 ,2,………….10} and : → be defined by ()=2+ 1 , ∈. Then the range of f is
a) {1 ,2,………..10}
b) {5,6 ,7,8 ,9 ,10}
c) {3 ,5 ,7 ,9}
d) {1 ,2 ,3 ,4}​

Answer 1

Answer:

f(1)=1 2 =1f(2)=2 2 =4f(3)=3 2 =9f(4)=4 2 =16f(5)=5 2 =25Hence, the range of the function is {1,4,9,16,25}

Since the elements in co-domain does not equal to the elemets in range ⇒f is not onto.

Image is not same for two domain elements in f, hence it is one-one.

Answer 2

hope this will help you buddy