Final answer:
The range of the function f(x) = 2x³- 3x for the domain {-1, 1, 2} is {-1, 1, 10}.
Step-by-step explanation:
The range of a function refers to the set of all possible values that the function can output. To find the range of the function f(x) = 2x³- 3x for the given domain {-1, 1, 2}, we need to evaluate the function for each value in the domain and determine the set of output values.
For x = -1: f(-1) = 2(-1)³ - 3(-1) = -2 - (-3) = 1
For x = 1: f(1) = 2(1)³ - 3(1) = 2 - 3 = -1
For x = 2: f(2) = 2(2)³ - 3(2) = 16 - 6 = 10
Therefore, the range of the function f(x) = 2x³- 3x for the domain {-1, 1, 2} is {-1, 1, 10}.