Final answer:
The range for the function f(x)=-2x+1 with the domain {-2, 1, 3} is calculated by substituting each domain value into the function, resulting in the range {-5, -1, 5}.
Step-by-step explanation:
The range of a function represents the set of all possible output values.
To find the range for the function f(x) = -2x + 1 with the domain: {-2, 1, 3}, we need to substitute each value from the domain into the function and calculate the corresponding outputs.
When x = -2, f(x) = -2(-2) + 1 = 4 + 1 = 5.
When x = 1, f(x) = -2(1) + 1 = -2 + 1 = -1.
When x = 3, f(x) = -2(3) + 1 = -6 + 1 = -5.
Therefore, the range for the function with the given domain is {-5, -1, 5}.