1. Do Now- *Dig out parent function sheet from Ch 2* Graph the following 2 functions by plotting points. If using a calculator, use parentheses deliberately and carefully. XY -2 0 1 2 XY -2 0 1 2

2. - Introduce to 2 new parent functions & translations - What is an asymptote? - Find asymptotes of rational functions

3. Rational function A function f of the form where p(x) and q(x) are polynomials, is called a rational function Rational meaning fraction Values which cause q(x)=0 are excluded from graph

4. Reciprocal Function

5. Rational Function

6. Graphing Access your graphing knowledge from chapter 2… Will be translating about the axes, from the origin Example:

7. Definition Asymptote: a line that a curve approaches as it heads toward infinity Can be vertical, horizontal, oblique In my own words: Invisible lines that graph seems to approach but never really touches Example:

8. Finding vertical asymptotes Vertical asymptotes occur at points where q(x)=0 Vertical line= undefined slope, undefined @ q(x)=0 To find the vertical asymptote/s, set q(x)=0 Q(x) is denominator Example:

9. Finding vertical asymptotes

10. Classwork- due at end of hour Practice finding vertical asymptotes