If the domain of the function F = (x, y) is {1, 2, 3}, what is the range?

Question

If the domain of the function F = 2x + y = 7 is {1, 2, 3}, what is the range?

Answer 1

The range of the function is {1,3,5}.

Explanation:

The function is defined as

`F=\(x,y)`

The set of all possible inputs is called domain and the set of output is called range.

In other words the possible values of x are elements of domain and the values of y are the elements of range.

Since the domain is {1,2,3} and the function is

`2x+y=7`

Put x=1

`2(1)+y=7`

`2+y=7`

`y=7-2`

`y=5`

Put x=2

`2(2)+y=7`

`4+y=7`

`y=7-4`

`y=3`

Put x=3

`2(3)+y=7`

`6+y=7`

`y=7-6`

`y=1`

Since the possible values of y are 5,3 and 1, therefore the range of the function is {1,3,5}