1. SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 3.2Logarithmic Functions and their Graphs

2. p234#7-31, 37-41, 51-65, 85-91, 95, 97 Homework for section 3.2

3. exponential horizontal Asymptote y = 0 logarithmic vertical asymptote x = 0

4. A logarithmic function with base “a”: is denoted by: if and only if:

5. A logarithm is an exponent. Aan exponent. logarithmis Aan exponent. logarithmis Aan exponent. logarithmis Aan exponent. logarithmis Aan exponent. logarithmis logarithm is exponent.

6. The two equations are equivalent … Use one to solve the other … and use the other to solve the one … depending upon which one you need to solve. is the same as:

7. Properties of Common Logarithms logarithmic exponential All this stuff works with e and ln, too.

8. Properties of Natural Logarithms logarithmic exponential

9. Another Property of Common and Natural Logarithms

10. For all: f(x) = log a x Increasing: Decreasing Domain: Range: VA: Intercept:

11. Shifting f(x) = log 2 x f(x) = log 2 x + 3 f(x) = log 2 x - 4 What is new asymptote???

12. Shifting f(x) = log 2 x f(x) = log 2 (x + 3) f(x) = log 2 (x - 4) What is new asymptote???

13. Domain Your favorite … or is it mine??? On your calculators, do: What can you deduce from this??? You can’t take the log of a negative number, or 0. Common or Natural NCD

14. Finding domains of log functions …

15. Go! Do!