# What is the range of the function 2x + y = 7 if the domain is (-4, -2, 0, 5, 7)?

Jan 14, 2017

$\left(- 7 , - 3 , 7 , 11 , 15\right)$

#### Explanation:

Since it is not clear which the independent variable is, we will assume that the function is

$y \left(x\right) = 7 - 2 x$ and NOT $x \left(y\right) = \frac{7 - y}{2}$

In this case, simply evaluate the function at each $x$ value of the domain:

$y \left(- 4\right) = 15$
$y \left(- 2\right) = 11$
$y \left(0\right) = 7$
$y \left(5\right) = - 3$
$y \left(7\right) = - 7$

Therefore, the range is $\left(- 7 , - 3 , 7 , 11 , 15\right)$.