Final answer:
The range of the function y = 3x - 2 with a domain of {0, 1, 2} is {-2, 1, 4}.
Step-by-step explanation:
The range of the function y = 3x – 2 when restricted to the domain {0, 1, 2} is the set of all possible outputs obtained by plugging in each domain value into the function.
We can plug in the values 0, 1, and 2 for x and find the corresponding y values.
Evaluating the function for each domain value:
For x = 0, y = 3 × 0 - 2 = -2.
For x = 1, y = 3 × 1 - 2 = 1.
For x = 2, y = 3 × 2 - 2 = 4.
Therefore, the range is the set {1, 4, -2} containing all the unique output values obtained for the given domain.