# How do you find the range of t(x)=2x-9 for the domain (-2,0,3,8)?

Apr 21, 2017

$\left\{- 13 , - 9 , - 3 , 7\right\}$

#### Explanation:

The range is the values obtained for y from the given values in the domain.
To obtain these, substitute values from domain into t( x )

$t \left(\textcolor{red}{- 2}\right) = \left(2 \times \textcolor{red}{- 2}\right) - 9 = - 4 - 9 = - 13$

$t \left(\textcolor{red}{0}\right) = \left(2 \times \textcolor{red}{0}\right) - 9 = 0 - 9 = - 9$

$t \left(\textcolor{red}{3}\right) = \left(2 \times \textcolor{red}{3}\right) - 9 = 6 - 9 = - 3$

$t \left(\textcolor{red}{8}\right) = \left(2 \times \textcolor{red}{8}\right) - 9 = 16 - 9 = 7$

$\Rightarrow \text{ range is } \left\{- 13 , - 9 , - 3 , 7\right\}$