Final answer:
The range of the function f(x) = -5x + 3 for the domain {-2, 1, 4} is determined by substituting each domain value into the function, resulting in the range {13, -2, -17}.
Step-by-step explanation:
To find the range for the function f(x) = -5x + 3 with the domain {-2, 1, 4}, we plug each value from the domain into the function and calculate the corresponding y-values.
- For x = -2: f(-2) = -5(-2) + 3 = 10 + 3 = 13
- For x = 1: f(1) = -5(1) + 3 = -5 + 3 = -2
- For x = 4: f(4) = -5(4) + 3 = -20 + 3 = -17
The range of the given function for the domain {-2, 1, 4} is {13, -2, -17}.