Given the function below, find the range for the domain {-3,-1,1,2}.
g (x) = x^2 -3
answer choices
{6,-2,1}
{-6,-2,-1}
{-12,-4,1,4}
{-4,-2,1,4}
answer CORRECTLY
To find the range of the function for the given domain, we will substitute each value in the domain into the function and determine 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 for the given domain {-3, -1, 1, 2} is {6, -2, 1}. So, the correct answer is {6, -2, 1}.