given the function below find the range for the domain {-3, -1, 1, 2) g(x)=x^2-3
To find the range of the function g(x) = x^2 - 3 for the given domain {-3, -1, 1, 2}, we substitute each value from the domain into the function and observe the corresponding output.
For x = -3: g(-3) = (-3)^2 - 3 = 9 - 3 = 6
For x = -1: g(-1) = (-1)^2 - 3 = 1 - 3 = -2
For x = 1: g(1) = (1)^2 - 3 = 1 - 3 = -2
For x = 2: g(2) = (2)^2 - 3 = 4 - 3 = 1
Therefore, the range of the function g(x) = x^2 - 3 for the given domain {-3, -1, 1, 2} is {6, -2, 1}.