Hello!
To find the range of f(x), we would need to substitute the given domain values into the given function and solve. Remember to use PEMDAS.
f(x) = 2x² - 1, x = -1
f(x) = 2(-1)² - 1
f(x) = 2(1) - 1
f(x) = 2 - 1
f(x) = 1
-
f(x) = 2x² - 1, x = 0
f(x) = 2(0)² - 1
f(x) = -1
-
f(x) = 2x² - 1, x = 1
f(x) = 2(1)² - 1
f(x) = 2(1) - 1
f(x) = 2 - 1
f(x) = 1
If two range values are listed, then you only need to write them once.
Therefore, the range of f(x) given the domain d = {-1,0,1} is r = {-1, 1}.
