1. Limits Involving Infinity Section 2.2

2. ∞ Infinity Doesn’t represent a real number Describes the behavior of a function when the values in its domain or range outgrow all finite bounds

4. The line y = b is a horizontal asymptote of the graph of a function y = f(x) if either

5. Use graphs and tables to find the limits of the function. Identify all horizontal asymptotes of the function.

7. The line x = a is a vertical asymptote of the graph of a function y = f(x) if either

8. Use graphs and tables to find the limits of the function. Identify all vertical asymptotes of the function.

9. For numerically large values of x, we can sometimes model the behavior of a complicated function by a simpler one that acts virtually in the same way.

10. End Behavior Model Right end behavior model for f Left end behavior model for f The function g is a See p. 70

11. Seeing Limits as x approaches ±∞ Investigate the graph of y = f(x) as x approaches ±∞ by investigating the graph of y = f(1/x) as x approaches 0 See p. 71

12. pages 71-72 (2-32 even) ======================== pages 71-72 (5, 13, 17, 27, 34, 36, 38, 46, 48)