# How do you find the range of f(x) = -x + 4 for the domain {-3,-2,-1,1}?

Jul 25, 2018

$y \in \left\{7 , 6 , 5 , 3\right\}$

#### Explanation:

$\text{To find the range substitute the given values of } x$
$\text{from the domain into } f \left(x\right)$

$f \left(- 3\right) = - \left(- 3\right) + 4 = 3 + 4 = 7$

$f \left(- 2\right) = - \left(- 2\right) + 4 = 2 + 4 = 6$

$f \left(- 1\right) = - \left(- 1\right) + 4 = 1 + 4 = 5$

$f \left(1\right) = - 1 + 4 = 3$

$\text{range is } y \in \left\{7 , 6 , 5 , 3\right\}$