Question

If the domain of f(x)=-x² is integer values of x such that -3≤x<0, find the range.

Answer 1

The range is the resulting y-values we get after substituting all the possible x-values.

$\text{The domain:}\\\\-3\leq x < 0\to\{-3,\ -2,\ -1\}\\\\\text{The range:}$

Substitute the values of x to the equation of the function:

$f(-3)=-(-3)^2=-9\\\\f(-2)=-(-2)^2=-4\\\\f(-1)=-(-1)^2=-1\\\\\boxed{\{-9,\ -4,\ -1\}}$