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

Question

asked May 6, 2019 85.0k views

1 Answer

Fraser Price · Answer 1 · 2019-05-10T06:40:29+0000

Answer:

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}