The domain of a function is the numbers on the x coordinate that the function can be. The range is the same, but for the y axis.
So for the function you gave, if the domain is all numbers between -1 and 3, you plug in those numbers
ƒ(-1) = 3x + 2 → 3(-1) + 2 = -5
ƒ(3) = 3x + 2 → 3(3) + 2 = 11
and the output is the range.
In this case, the domain would be all numbers between -1 and 3, and the range would be all numbers between -5 and 11
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