Question

Given the domain {-2,2,4}, what is the range for the relation 3x+y=3?

Answer 1

The range is [9,-3,-9]

Explanation:

we have the relation

`3x+y=3`

To find the range determine the value of y for each value of x in the relation

so

For x=-2

substitute in the equation

`3(-2)+y=3`

`-6+y=3`

`y=9`

For x=2

substitute in the equation

`3(2)+y=3`

`6+y=3`

`y=-3`

For x=4

substitute in the equation

`3(4)+y=3`

`12+y=3`

`y=-9`

therefore

The range is [9,-3,-9]