Question

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

Answer 1

`y={-11,1,10}`

Explanation:

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

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

`y=3(-3)-2=-11`
`y=3(1)-2=1`
`y=3(4)-2=10`

`y={-11,1,10}`