Answer:
{2,3,4,5}
Step-by-step explanation:
Domain is the set of x-values for which the function is defined.
Range is the set of y-values for which the function is defined (set of values corresponding to the set of x-values).
The function is given as [tex]y=\frac{1}{2}x+3[/tex]
The domain is (-2,0,2,4)
That means, we need to plug-in the 4 numbers given into x of the function and find the 4 corresponding y values (the range).
So, lets do this:
putting x = -2,
[tex]y=\frac{1}{2}(-2)+3=2[/tex]
putting x = 0
y = 3
putting x = 2
[tex]y=\frac{1}{2}(2)+3=4[/tex]
putting x= 4
[tex]y=\frac{1}{2}(4)+3=5[/tex]
Thus, the range is {2,3,4,5}
