### Home > CALC > Chapter 2 > Lesson 2.1.2 > Problem 2-25

2-25.

A complete set of approach statements will include information about what happens when *x*→∞ and *x*→−∞. (This will tell us about the location of horizontal asymptotes, if any.) Also, a complete set of approach statements will describe what happens on each side of a hole or vertical asymptote. So the first step will be to determine the location of holes and vertical asymptotes.

Now that we have determined the location of holes and vertical asymptotes, we can write a complete set of approach statement:

*x* →−∞, *y* → __________ *x* → −2^{−}, *y* → _________*x* → ∞, *y* → __________ *x* → −2^{+}, *y* → ________

Use the simplified equation, *y* = *x* + 2, to evaluate these approach statements.