Question
Given the function below fine, the range of domain{-3,-1,1,2}
G(x)=x2-3
G(x)=x2-3
Answers
Answered by
GPT 3.5
To find the range of the function, we need to substitute the given values in the domain into the function and see what values are obtained.
1. For x = -3:
G(-3) = (-3)^2 - 3 = 9 - 3 = 6
So, G(-3) = 6.
2. For x = -1:
G(-1) = (-1)^2 - 3 = 1 - 3 = -2
So, G(-1) = -2.
3. For x = 1:
G(1) = (1)^2 - 3 = 1 - 3 = -2
So, G(1) = -2.
4. For x = 2:
G(2) = (2)^2 - 3 = 4 - 3 = 1
So, G(2) = 1.
The range of the function for the given values in the domain {-3, -1, 1, 2} is {6, -2, 1}.
1. For x = -3:
G(-3) = (-3)^2 - 3 = 9 - 3 = 6
So, G(-3) = 6.
2. For x = -1:
G(-1) = (-1)^2 - 3 = 1 - 3 = -2
So, G(-1) = -2.
3. For x = 1:
G(1) = (1)^2 - 3 = 1 - 3 = -2
So, G(1) = -2.
4. For x = 2:
G(2) = (2)^2 - 3 = 4 - 3 = 1
So, G(2) = 1.
The range of the function for the given values in the domain {-3, -1, 1, 2} is {6, -2, 1}.