representing relations by ajhane foster and martricesa carter
TRANSCRIPT
Representing Relations
By Ajhane Foster And MarTricesa Carter
• Recall that a relation is a set of Ordered Pairs. A relation can also be represented by a table, a graph or a mapping. A Mapping illustrates how each how each element of the domain is paired with an element of range.
• Ordered pairs • (1,2)• (-2,3)• (0,-3)
x Y
1 2
-2 3
0 -3
Example 1
Mapping for example 1.
0
2
1
X
3
3
2
y
Explanation
• Table- list the x coordinates in the first column and the corresponding y coordinates in the second column.
• Graph- graph each ordered pair on a coordinate plane.
• Mapping-list the x values in the set x and the y values in set y. draw arrows from the x values in x to the corresponding y values
Domain & Range When writing the elements of the
domain in range, if a value is repeated, you need to list it only once.
Domain in range
Inverse relation• Relation notice that
both 2 and 3 in the domain paired with -4 in the range {(2,-4),(3,-4),(5,-7),(6,-8)}
6
5
3
2
8
7
4
Inverse- exchange x and y in each ordered pair to write the inverse relation {(-4,2,(-4,3),(-7,5),(-8,6)}
8
7
4
6
5
3
2
6
5
3
2
Example 2
Graphing Relations Examples.(Mapping, Graphing, & Tables)
• {(5,-2), (8,3), (-7,1)}
x y5 -2
8 3
-7 1
example3
5
8
-7
-2
3
1
Continued
2 3
4 -1
3 3
-1 2
X Y
example4
• {(2,3),(4,-1),(3,3),(-1,2)}
3
2
4
3
-1
3
-1
3
2
continued
• {(8,3),(5,-2),(-7,1)}
8 3
5 -2
-7 1
X Y
Example 5
• {(4,3),(3,2),(-6,6),(-6,8)}
4 3
3 2
-6 6
-6 8
X Y
Example 6
{(4,2),(6,-1),(5,6)}
4 2
6 -1
5 6
X Y
example7
• {(3,4),(6,4),(1,-2),(4,-2)}
3 4
6 4
1 -2
4 -2
X Y
Example 8
• {(0,2),(0,6),(-5,1),(1,9)}
0 2
0 6
-5 1
1 9
X Y
Example 9
Try to map this one.. By yourself.
• {(1,2),(0,3),(-4,2)}
1 2
0 3
-4 2
X Y
Example 10
Links
• http://www.wiziq.com/tutorial/694-Representing-Relations
• http://ali.cmi.ac.in/icla2009/slides/jan07/alogic/1400.pdf
• http://www.nutshellmath.com/textbooks_glossary_demos/demos_content/prealg_relations_and_functions.html
• http://www.glencoe.com/sec/math/t_resources/keyconcepts/pdfs/pa03kc_lesson01.pdf