Final answer:
Given the domain -3, -1, 1, 4, the range of the function f(x) = 5x+2 is -13, -3, 7, 22. Each value in the range is obtained by substituting the corresponding domain value into the function.
Step-by-step explanation:
The function f(x) = 5x+2 is a linear function where you multiply the input (x-value) by 5 and then add 2. To find the range of a function given specific inputs from the domain, you simply substitute these values into the equation and calculate the output.
For x = -3, f(-3) = 5*(-3) + 2 = -15 + 2 = -13.
For x = -1, f(-1) = 5*(-1) + 2 = -5 + 2 = -3.
For x = 1, f(1) = 5*(1) + 2 = 5 + 2 = 7.
For x = 4, f(4) = 5*(4) + 2 = 20 + 2 = 22.
So, given the domain -3, -1, 1, 4, the range of the function f(x) = 5x+2 is -13, -3, 7, 22.
Learn more about Range of a Function