1. Types of functions:

2. Linear

3. Quadratic

4. Absolute Value

5. Exponential

6. Constant

7. Polynomial

8. Step

9. Trigonometric

10. Logarithmic

11. Square Root Functions

12. Rational Functions

13. Vocabulary Relation – a set of ordered pairs Example – {(-1,1), (2,3), (2,1), (2,-1), (5,1)}

14. Function – a relation for which each x corresponds to exactly one y Use the vertical line test to determine if a relation is a function. A relation is a function if there are no vertical lines that intersect the graph at more than one point. Vertical Line Test This graph is a function since there are no vertical lines that hit the graph more than once.

15. Ways of showing functions: Graphically- use vertical line test!

16. Ways of showing functions: Equations - use your calculator to see the graph

17. Tables (functions have no repeated x’s) Ex of functionex of non-function xy -39 4 1 00 11 24 39 xy -39 -24 1 00 11 24 39

18. Mappings – look to see if every element of the first set has ONLY ONE element it matches in the second set.

19. Set notation (set builder and interval notation) Set builder notation: The set {x : x > 0} is read aloud, "the set of all x such that x is greater than 0." The set {x: x ≠ 3} is the set of all real numbers except 3 The set {x | -2 < x < 5} is the set of numbers such that values of x are greater than negative 2 and less than 5.

20. Interval notation: A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included. For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8.intervalParenthesesbracketsreal numbers Another example: The interval: which includes -1 and excludes 2.