The Solution:
Suppose we have a function given as below:
[tex]y=f(x)=2x+1[/tex]Whatever values x takes are examples of domain input while the corresponding values of y for each value of x are examples of range output. For example, let the values of x be -1, 0, 1, 2,... So, the corresponding values of y will be
[tex]\begin{gathered} \text{ when x=-1,} \\ y=2(-1)+1=-2+1=-1 \end{gathered}[/tex]When x =0,
[tex]y=2(0)+1=0+1=1[/tex]When x = 1
[tex]y=2(1)+1=2+1=3[/tex]When x = 2
[tex]y=2(2)+1=4+1=5[/tex]So,
Domain input = {-1, 0, 1, 2,...}
Range output = {-1, 1, 3, 5,...}