Given the function g (x)=x^2 -3 find the range for the domain {-3,-1,1,2}
To find the range of the function g(x) = x^2 - 3 for the given domain {-3, -1, 1, 2}, we need to calculate the corresponding values of the function for each of the elements in the domain and determine the set of resulting values.
1. g(-3) = (-3)^2 - 3 = 9 - 3 = 6
2. g(-1) = (-1)^2 - 3 = 1 - 3 = -2
3. g(1) = (1)^2 - 3 = 1 - 3 = -2
4. g(2) = (2)^2 - 3 = 4 - 3 = 1
Therefore, the range of the function g(x) = x^2 - 3 for the domain {-3, -1, 1, 2} is {-2, 1, 6}.