I learned long ago that the range of rational numbers can be found by graphing the function. I also know that this can be done algebraically.

1. How do we find the range of a rational functions by looking at the graph?

2. How is this done algebraically?

3. Is the domain of an inverse function the range of the original function given?

4. Graph y = 3/(x + 3).

5. Find the range of y = 3/(x + 3) via graphing and/or algebraically.

Honestly, how is this done?