# What is the range if f(x) =1/2x - 2 and domain: -1/2,0,3,5,9 ?

Sep 22, 2015

The Range of $f \left(x\right)$ with the given Domain is $\left\{- 2.25 , - 2 , - 0.5 , 0.5 , 2.5\right\}$

#### Explanation:

Given the Domain $\left\{- \frac{1}{2} , 0 , 3 , 5 , 9\right\}$ for a function $f \left(x\right) = \frac{1}{2} x - 2$

the Range of $f \left(x\right)$ (by definition) is

$\left\{f \left(- \frac{1}{2}\right) , f \left(0\right) , f \left(3\right) , f \left(5\right) , f \left(9\right)\right\}$

$= \left\{- 2.25 , - 2 , - 0.5 , 0.5 , 2.5\right\}$