Answer:
{-1, 2, 47}
Choice B
Explanation:
Function is g(x) = x² - 2
Domain is the possible set of x values and range is the set of function values for that domain
Here Domain = {- 2, - 1, 7}. This means these are values for which the function value g(x) exists
(Note this is not the entire domain, only a subset of the domain)
At x = - 2, g(x) = (-2)² - 2 = 4 - 2 = 2
At x = - 1, g(x) = (-1)² -2 = 1 -2 = -1
At x = 7, g(x) = (7)² -2 = 49 - 2 = 47
These are the corresponding range values for the given domain
Both domain and range sets are expressed from lowest to highest so we get range of g(x) as
{-1, 2, 47}
Choice B