Answer:
The range of the function is {1,3,5}.
Step-by-step explanation:
The function is defined as
[tex]F=\{(x,y)|2x+y=7\}[/tex]
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
[tex]2x+y=7[/tex]
Put x=1
[tex]2(1)+y=7[/tex]
[tex]2+y=7[/tex]
[tex]y=7-2[/tex]
[tex]y=5[/tex]
Put x=2
[tex]2(2)+y=7[/tex]
[tex]4+y=7[/tex]
[tex]y=7-4[/tex]
[tex]y=3[/tex]
Put x=3
[tex]2(3)+y=7[/tex]
[tex]6+y=7[/tex]
[tex]y=7-6[/tex]
[tex]y=1[/tex]
Since the possible values of y are 5,3 and 1, therefore the range of the function is {1,3,5}
