Upcoming SlideShare
×

# Relations & Functions

7,618 views

Published on

Vocabulary to begin a unit on functions and relations.

4 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

Views
Total views
7,618
On SlideShare
0
From Embeds
0
Number of Embeds
50
Actions
Shares
0
436
0
Likes
4
Embeds 0
No embeds

No notes for slide

### Relations & Functions

1. 1. Relations & Functions<br />
2. 2. Ordered Pair<br />An ordered pair is a set of 2 numbers, <br />x and y, <br />also known as coordinates of a point on a graph<br />(x, y)<br />
4. 4. (+, +)<br />(-, +)<br />(+,-)<br />(-, -)<br />
5. 5. Relation<br />Any set of ordered pairs<br />(-2, 8), (-1, 7), (-1, 6),(7, 6) <br />
6. 6. Function<br />Any set of ordered pairs <br />in which <br />NO x value is repeated.<br />(-2, 8), (-1, 7), (0, -1),(7, 6)<br />* y values can be repeated<br />
7. 7. Graphical Representations<br />Of a function or relation<br />
8. 8. Set Notation – Ordered Pairs<br />{(-2,3),(0,-3),(2,-4),(7,0)}<br />*ordered pairs encompassed by braces<br />
9. 9. Table of Values<br />
10. 10. Mapping Diagram<br />x<br />f(x)<br />-2<br />-1<br />0<br />7<br />-1<br />3<br />6<br />7<br />
11. 11. Graph<br />
12. 12. The vertical line test<br />In order to use the vertical line test, you must first plot the points on a coordinate plane. <br />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.<br />
13. 13. Using the vertical line test.<br />This is a function.<br />This is NOT a function.<br />y<br />y<br />x<br />x<br />
14. 14. Domain<br />The set of x values in a <br />relation or function.<br />In the relation:<br />{(-2,3),(0,-3),(2,-4),(7,0)}<br />the domain is <br />{-2, 0, 2, 7}<br />
15. 15. Range<br />The set of yvalues in a <br />relation or function.<br />In the relation:<br />{(-2,3),(0,-3),(2,-4),(7,0)}<br />the range is <br />{-4, -3, 0, 3}<br />
16. 16. Function Notation<br />f(x)<br />Represents the function evaluated at x<br />Read “f of x”<br />
17. 17. Function Rule <br />An equation that represents a function<br />f(x) = 6x – 2 <br />g(x) = -2x + 4<br />
18. 18. Synonyms for “Domain”<br /><ul><li> Domain
19. 19. Input
20. 20. x
21. 21. Independent variable</li></li></ul><li>Synonyms for “Range”<br /><ul><li> Range
22. 22. Output
23. 23. y