how do you find the range of this function X-2/X+2 without using the graph?

Question

pls help

Answer 1

There is a vertical asymptote at x = -2, and y ranges from -∞ to +∞ near it

There is a horizontal asymptote at y=1, yet y cannot be equal to 1, since that would mean that (x+2) = (x-2), or 2 = -2.

So, the range is all real numbers except y=1.