# How do you find the range of y = 4x - x^2; given Domain = {-1, -2, 0}?

Oct 9, 2017

$y \in \left\{- 5 , - 12 , 0\right\}$

#### Explanation:

The domain is $x \in \left\{- 1 , - 2 , 0\right\}$
This means that the value of $x$ can ONLY be those numbers. (Because of this { } bracket)

So, when we put $x = - 1$ in $y$ then $y = - 5$

when we put $x = - 2$ in $y$ then $y = - 12$

when we put $x = 0$ in $y$ then $y = 0$

Therefore the range is $y \in \left\{- 12 , - 5 , 0\right\}$