You can do a table like this:
x g(x) = 3x + 1
0 3(0) + 1 = 0 + 1 = 1
1 3(1) + 1 = 3 + 1 = 4
2 3(2) + 1 = 6 + 1 = 7
3 3(3) + 1 = 9 + 1 = 10
Then, the range is {1, 4, 7, 10}
Remember, the domain is the set of x values for which the function is defined, and the range is the set of images.
Answer: {1, 4, 7, 10}