1. Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.

2. Absolute Values Absolute Values of Expression What value(s) of x will make the expression equal to 8 or -8?

3. Absolute Values Absolute Values of Expressions What value(s) of x will make the expression equal to 7 or -7?

4. Absolute Values Absolute Values of Expressions What value(s) of x will make the expression equal to 0?

5. Absolute Values Absolute Values of Expressions What value(s) of x will make the expression equal to -1? No solution

6. Absolute Values Absolute Values of Inequalities What value(s) of x will make the inequality greater than or equal to 8? Interval Notation

7. Absolute Values Absolute Values of Inequalities What value(s) of x will make the inequality greater than or equal to 8? Interval Notation

8. Absolute Values Absolute Values of Other Inequalities Interval Notation

9. Absolute Values Absolute Values of Other Inequalities

10. Graphs, Relations, and Functions Defn: A relation is a set of ordered pairs. Domain: The values of the 1 st component of the ordered pair. Range: The values of the 2nd component of the ordered pair.

11. The Rectangular Coordinate System Ordered Pair (x, y) (independent variable, dependent variable) (1 st component, 2 nd component) (input, output) (abscissa, ordinate)

12. x y 1 st Quadrant2 nd Quadrant 3 rd Quadrant4 th Quadrant The Rectangular Coordinate System

13. x y

14. Graphs, Relations, and Functions Defn: A function is a relation where every x value has one and only one value of y assigned to it. xy 13 25 -46 14 33 xy 42 -38 61 9 56 xy 23 57 38 -2-5 87

15. Graphs, Relations, and Functions Functions and Equations. xy 0-3 57 -2-7 45 33 xy 24 -24 -416 39 -39 xy 11 1 42 4-2 00 function not a function

16. x y The Rectangular Coordinate System xy 0-3 57 -2-7 45 33

17. x y The Rectangular Coordinate System xy 24 -24 -416 39 -39

18. x y The Rectangular Coordinate System xy 11 1 42 4-2 00

19. x y The Rectangular Coordinate System

20. Graphs, Relations, and Functions Function Notation Shorthand for stating that an equation is a function. Function notation also defines the value of x that is to be use to calculate the corresponding value of y. Defines the independent variable (usually x) and the dependent variable (usually y).

21. Graphs, Relations, and Functions Function Notation – Restricted Domains