2.3 Analyzing Graphs of Functions

1. 2.3 Analyzing Graphs of Functions

2. Graph of a Functionset of ordered pairs

3. Look at the graph of p. 201 Find domain range f(-1) f(2)

4. Vertical Line Test If a vertical line intersects the graph more than once, the graph is not a function

5. Zeros of a Function: x values when Find the zeros of the following functions

6. Increasing and Decreasing Functions Increasing Decreasing Constant

7. Linear Function Graph:

8. Ex. Write a linear function where

9. Relative Minimum and Relative Maximum A function value f(a) is called a relative minimum of f if there exists an interval (x1, x2) that contains a such that A function value f(a) is called a relative maximum of f if there exists an interval (x1, x2) that contains a such that

10. Step Functions and Piecewise Defined Functions Greatest Integer Function: - the greatest integer less than or equal to x.

11. Piecewise Defined function

12. Even and Odd Functions • Even symmetric to y axis • Odd symmetric about origin