Vocabulary to begin a unit on functions and relations.

1. Relations & Functions

2. Ordered Pair An ordered pair is a set of 2 numbers, x and y, also known as coordinates of a point on a graph (x, y)

3. Coordinate Plane Quadrant I Quadrant II Quadrant III Quadrant IV

4. (+, +) (-, +) (+,-) (-, -)

5. Relation Any set of ordered pairs (-2, 8), (-1, 7), (-1, 6),(7, 6)

6. Function Any set of ordered pairs in which NO x value is repeated. (-2, 8), (-1, 7), (0, -1),(7, 6) * y values can be repeated

7. Graphical Representations Of a function or relation

8. Set Notation – Ordered Pairs {(-2,3),(0,-3),(2,-4),(7,0)} *ordered pairs encompassed by braces

9. Table of Values

10. Mapping Diagram x f(x) -2 -1 0 7 -1 3 6 7

11. Graph

12. The vertical line test In order to use the vertical line test, you must first plot the points on a coordinate plane. If you can draw a vertical line through each of the data points, and each line passes through EXACTLY one point, then the relation is a function.

13. Using the vertical line test. This is a function. This is NOT a function. y y x x

14. Domain The set of x values in a relation or function. In the relation: {(-2,3),(0,-3),(2,-4),(7,0)} the domain is {-2, 0, 2, 7}

15. Range The set of yvalues in a relation or function. In the relation: {(-2,3),(0,-3),(2,-4),(7,0)} the range is {-4, -3, 0, 3}

16. Function Notation f(x) Represents the function evaluated at x Read “f of x”

17. Function Rule An equation that represents a function f(x) = 6x – 2 g(x) = -2x + 4

19. Input

20. x

22. Output

23. y

25. What is a relation?

26. What is a function?

27. What are the 4 graphical representations of a function?

28. What are the domain and range of a function or relation?

29. How do you know a relation is a function?

30. Describe the vertical line test?

31. HOMEWORK