Final answer:
To find the range of the function f(x) = 3x^2 - 2x for the domain {1, 2, 3}, we calculate f(1), f(2), and f(3) to get the range {1, 8, 21}.
Step-by-step explanation:
The student is asking about the range of the function f(x) = 3x2 - 2x given the domain {1, 2, 3}. To find the range, we evaluate the function for each value within the domain.
- For x = 1: f(1) = 3(1)2 - 2(1) = 1
- For x = 2: f(2) = 3(2)2 - 2(2) = 8
- For x = 3: f(3) = 3(3)2 - 2(3) = 21
Thus, the range for the given domain is {1, 8, 21}.