# How do you find the range of each function given the domain: f(x)=-x/3+1;{-3,0,6}?

Nov 19, 2016

Range; $\textcolor{g r e e n}{\left\{2 , 1 , - 1\right\}}$

#### Explanation:

Given a domain composed of a set of discrete values
the range is the set of values generated by evaluation of the function for the set of domain values.

$f \left(x\right) = - \frac{x}{3} + 1$
Domain: $x \in \left\{- 3 , 0 , 6\right\}$

Range: $\left\{f \left(- 3\right) , f \left(0\right) , f \left(6\right)\right\} = \left\{2 , 1 , - 1\right\}$