# How do you find the range of y = 3x-5: given Domain = {0, 1, 2, 3}?

Jul 5, 2017

See a solution process below:

#### Explanation:

The Domain normally represents the $x$ values in an equation. Therefore, to find the range (which normally represents the $y$ values in an equation) we need substitute each value in the Domain and solve for $y$. The set of answers obtained will for the Range:

For $x = 0$: $y = \left(3 \cdot 0\right) - 5 = 0 - 5 = - 5$

For $x = 1$: $y = \left(3 \cdot 1\right) - 5 = 3 - 5 = - 2$

For $x = 1$: $y = \left(3 \cdot 2\right) - 5 = 6 - 5 = 1$

For $x = 1$: $y = \left(3 \cdot 3\right) - 5 = 9 - 5 = 4$

Range = {-5, -2, 1, 4}