Question
find the range for domain {-3, -1, 1, 2}. G(x) = x^2 - 3
Answers
GPT 3.5
The range of a function is the set of all possible outputs or y-values that the function can give when you plug in each value from the domain.
To find the range of G(x) = x^2 - 3 using the given domain of {-3, -1, 1, 2}, we need to calculate the corresponding outputs for each input:
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
So, the possible output or range of G(x) for the given domain {-3, -1, 1, 2} is {6, -2, 1}.
To find the range of G(x) = x^2 - 3 using the given domain of {-3, -1, 1, 2}, we need to calculate the corresponding outputs for each input:
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
So, the possible output or range of G(x) for the given domain {-3, -1, 1, 2} is {6, -2, 1}.