1. 3.1 Representing Relations
Objectives The student will be able to:
represent relationship among quantities using tables, graphs, and diagrams
identify mathematical domains and ranges
identify the inverse of a relation.
Indicators: PFA #1, PFA#7
Designed by Skip Tyler, Varina High School
Modified by Anny Lin, Crestwood Middle School

2. How about some more definitions? The domain is the
set of 1st coordinates of the ordered pairs.
The range is the
set of 2nd coordinates of the ordered pairs.
A relation is a
set of ordered pairs.

3. Given the relation {(3,2), (1,6), (-2,0)}, find the domain and range.

4. What would this be? {(2,4), (3,-1), (0,-4)}
A lame relationship!! Ha! Ha!

5. The relation {(2,1), (-1,3), (0,4)} can be shown byx y
1) a table.
2) a mapping.
3) a graph. 2 -1 1 3 4 2 -1 1 3 4

6. Relation = {(-1,3), (0,6), (4,-1), (7,3)}
Given the following table, show the relation, domain, range, and mapping. x y
Relation = {(-1,3), (0,6), (4,-1), (7,3)}
Domain = {-1, 0, 4, 7}
Range = {3, 6, -1, 3}

7. You do not need to write 3 twice in the range!
Mapping x y -1 4 7 3 6 -1
You do not need to write 3 twice in the range!

8. What is the domain of the relation {(2,1), (4,2), (3,3), (4,1)}
{2, 3, 4, 4}
{1, 2, 3, 1}
{2, 3, 4}
{1, 2, 3}
{1, 2, 3, 4}
Answer Now

9. What is the range of the relation {(2,1), (4,2), (3,3), (4,1)}
{2, 3, 4, 4}
{1, 2, 3, 1}
{2, 3, 4}
{1, 2, 3}
{1, 2, 3, 4}
Answer Now

10. Inverse of a Relation: For every ordered pair (x,y) there must be a (y,x). Write the relation and the inverse. -1 3 4 -6 -4 2
Relation = {(-1,-6), (3,-4), (3,2), (4,2)}
Inverse = {(-6,-1), (-4,3), (2,3), (2,4)}

11. Write the inverse of the mapping.-3 4 3 -1 2
{(4,-3),(2,-3),(3,-3),(-1,-3)}
{(-3,4),(-3,3),(-3,-1),(-3,2)}
{-3}
{-1, 2, 3, 4}
Answer Now

15. c. What conclusions might you make from the graph of the data?
The number of departures of U.S. commercial airlines has increased each year. This may be due to the safer conditions or less expensive airline tickets.

16. Homework: Page 146 13-21 all and 23, 25, 27