2. Aim: Review functions and their graphs Do Now: 1. Which graph are functions? 2. Write the equations 4 1. 2.3. 4.5. 6.

3. The vertical line test: If the graph of a relation pass the vertical line test then the relation is a function The horizontal line test: If the graph of a function pass the horizontal line test then the function whose inverse is also a function Domain is the set of first elements (x’s) Range is the set of second elements (y’s)

4. Types of function:

5. Logarithmic function: Common log: y = log x Natural log: y = ln x RULES of LOGARITHMS Product Rule: log b AB = log b A + log b B Quotient Rule: log b A/B = log b A - log b B Power Rule: log b A c = c log b A

6. Properties of natural logarithms 1. ln e x = x 2. e ln x = x 3. ln 1 = 0, e 0 = 1 4. ln e = 1, e 1 = e 5. If ln x = ln y, then x = y

7. Trigonometric function y = A sin B(x – C) + D y = A cos B(x – C) + Dor

8. where k and p are constant Odd power functionsEven power functions

9. Find the domain and range of