Question

How can I find the domain and range of `2x-3y=6`?

Answer 1

`x\in(-\infty, \infty)`
`y\in(-\infty, \infty)`

Explanation:

Given that `2x-y=6`

`y=2x-6`

The above function of `x` is defined for all real values of `x` hence its domain is the set of real numbers

The function `y=2x-6` will have no minima & no maxima & may have any value between `-\infty` & `\infty`

hence, the domain `x\in(-\infty, \infty)`

the range `y\in(-\infty, \infty)`