Question

If A=(123) And B= (123456789) f(x)=x² then range of f is




Please find it​

Answer 1

Given:

Two sets are fiven to us which are  A=(1,2,3) And B= (1,2,3,4,5,6,7,8,9)

TO Find:

Range of f ?

Step-by-step explanation:

• In the question it is given a function is defind from A to B thus we can write

• A = (1,2,3) is domain of function  And B= (1,2,3,4,5,6,7,8,9) is codomain .

       We have the function f(x)=

• Since range of function is set of all possible values that the function will give when we give domain inputs.

• Thus for range of f we need to have the value of f(x) at x= 1,2,3.

                   [tex]f(x)=x^2\\ at, x=1\\ f(1)=1^2=1\\ at, x=2\\ f(2)=2^2=4\\ at, f=3\\ f(3)=3^2=9[/tex]

Thus we get f(1)=1,f(2)=4,f(3)=9

Hence range of f is(1,4,9)