The graph of the function f(x) = (x + 2)/(x - 3) is shown below:
Graph of f(x) = (x + 2)/(x - 3)
The graph has a vertical asymptote at x = 3, meaning the function is undefined at x = 3. The function also has a horizontal asymptote at y = 1, as the function approaches 1 as x approaches positive or negative infinity. The graph crosses the x-axis at x = -2, where there is a simple zero, and there is a vertical tangent at x = 3.