1. Graphing Log Functions Pre-Calculus

2. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a table of values for a log function  Graph a log function Vocabulary: logarithms, natural logarithms

3. How do you graph a logarithmic function? Graph f(x) = log 3 x This is the inverse of g(x) = 3 x x g(x) -2 0 1 2 1/9 1/3 1 3 9 x f(x) -2 0 1 2 1/9 1/3 1 3 9 f(x) = log 3 x g(x) = 3 x Graphing Logarithms

4. Steps to Graph a Log Function

5. Asymptotes???

6. Asymptotes You can only take the log of positive numbers! So, your domain restriction is the solution to the inequality: (what’s getting logged) > 0

7. Example Domain: Range:

8. Example Domain: Range:

9. Example Domain: Range:

10. Example Domain: Range:

11. Homework WB: p.57-58 odd