Question

How do you find the domain and range of `F(x) = 4x -1`?

Answer 1

Domain = `(-oo, +oo)`
Range = `(-oo, +oo)`

Explanation:

It's a linear function and by definition the domain is `RR`, there are no constraints.

Which means that for every `x` you put into `f(x) = 4x-1` you can get any value in `RR`, so the range is also `RR`.

So we can write like this:
Domain = `(-oo, +oo)`
Range = `(-oo, +oo)`

You can check it in the graph below
graph{4x-1 [-10, 10, -5, 5]}