Question

How do you find the domain and range of `y=2x-3`?

Answer 1

Graph{y=2x-3 [-10, 10, -5, 5]}

Domain: (-∞,∞)
Range: (-∞,∞)

Explanation:

First graph. Then, identify the domain and range.

The domain is all of the possible values of the line, related to the input variable (X-axis).
The range represents all of the possible values of the vertical axis, or the output of the equation (Y-axis).

If you look at the graphed line, you'll probably notice that if it went on forever, it would cover every possible value (thus, the infinite values of both the input and output). In other words, you could plug in any number for X and get a corresponding value for Y, and it would be right on that line.