Answer: {-2, -5, 4}
Step-by-step explanation
D = domain, R = range
The domain is the set of allowed inputs. The range is the set of possible outputs based on what the domain is.
We're only allowed to plug in: x = 1, x = 0, x = 3
Replace each copy of x with 1.
f(x) = 3x-5
f(1) = 3*1-5
f(1) = -2
The input x = 1 in the domain maps to the output y = f(x) = -2 in the range.
Repeat similar steps for x = 0 to get y = -5. Also, x = 3 leads to y = 4.
The domain {1,0,3} corresponds to the range {-2, -5, 4}
I'm choosing not to sort the values in the range because it helps to see how the domain and range values pair up.