Hey there! I'm happy to help!
The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.
4(-3)+3
-12+3
-9
4(2)+3
8+3
11
4(4)+3
12+3
15
We order these from least to greatest, giving us a range of {-9,11,15}.
Have a wonderful day! :D