Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The function is defined as

$F=\{(x,y)|2x+y=7\}$

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}