What is the range of the function y=3x-2 when the domain is {-3, 1, 4}?

$y = \left\{- 11 , 1 , 10\right\}$

Explanation:

The range of a function is the list of all resultant values (often called the $y$ or $f \left(x\right)$ values) that arise from the list of domain values.

Here we have a domain of $x = \left\{- 3 , 1 , 4\right\}$ in the function $y = 3 x - 2$. This gives as the range:

$y = 3 \left(- 3\right) - 2 = - 11$
$y = 3 \left(1\right) - 2 = 1$
$y = 3 \left(4\right) - 2 = 10$

$y = \left\{- 11 , 1 , 10\right\}$