Final answer:
The range of the function f(x) = x^3 for the given domain can be found by plugging in each value of x into the function and listing the corresponding outputs.
Step-by-step explanation:
The range of the function f(x) = x^3 for the given domain {-1, -0.5, 0, 0.5, 1} can be found by plugging in each value of x into the function and listing the corresponding outputs:
- f(-1) = (-1)^3 = -1
- f(-0.5) = (-0.5)^3 = -0.125
- f(0) = 0^3 = 0
- f(0.5) = (0.5)^3 = 0.125
- f(1) = 1^3 = 1
The range of the function is {-1, -0.125, 0, 0.125, 1} when the domain is {-1, -0.5, 0, 0.5, 1}. The range is the collection of all possible output values of the function when the input values come from the given domain.