Chapter 3.2(a) Relations and Functions.notebook
September 26, 2016
Bellwork:
Homework Questions???
Perform the following operation:
1)
2)
3) Sketch a graph for the situation and tell whether the graph is continuous or discrete.
A pet store is selling puppies for $50 each. It has 8 puppies to sell. Sep 11­9:49 AM
Sep 11­9:50 AM
Yesterday we saw how to use graphs to represent different relationships, today we are going to continue looking at graphs as well as tables, ordered pairs and mapping Diagram.
Relation: A set of ordered pairs
Chapter 3.2(a) Relations and Functions
Identify functions. Find the domain and range or relations and functions.
There are four ways that we can display a relation
Ordered Pairs {(1, 3), (­2, 4), (4, 5), (­3, ­2)}
Table
x ­3 ­2 1
y ­2 4 3
4
5
Graph
Mapping Diagram
­3 ­2
­2 3
1 4
4 5
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1) Express the following relations as a table, graph and mapping diagram:
a) {(2, 3), (4, 7), (6, 8)}
Table
x
Mapping Graph
y
Every Relation has a domain and a range.
Domain ­ Set of first coordinates (x­values) of the ordered pair. Often the input values
b) {(4, 5), (2, 1), (1, ­3)}
Table
x
Mapping
Graph
y
Range ­ Set of second coordinates (y­values) of the ordered pair. Often the output values.
c) {(­1, 3), (0, ­2), (3, ­2)}
Table
x
Mapping
Graph
y
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Chapter 3.2(a) Relations and Functions.notebook
2) Find the domain and range of the following relations:
a)
x
2
4
7
September 26, 2016
At times the domain and range are all the values in between two values.
b)
y
3
8
12
3) Find the domain and range of the following graphs:
b)
a)
c)
4) {(2, 4), (5, 3), (2, ­3), (1, 4)} 2
3
5
8
­1
2
3
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Two Functions and a Non­Function
Function: Type of relation that pairs each domain value with exactly one range value.
Example:
Out of each set of relations determine which are the functions and which one in not a function. Write the domain and range of each.
4)
1
2
x
­2
1
0
4
x
3
2
1
0
y
3
4
5
6
y
0
1
0
­3
x
­2
0
2
­2
y
2
0
3
­3
3
0
2
4
6
Relation A
1
­2
1
1
2
3
4
2
3
0
Relation B
5
Relation C
5) Relation A {(­2, ­2), (­1, ­2), (0, ­2), (3, ­2)}
Relation B {(­2, ­2), (­1, ­1), (0, 0), (3, 3)}
Relation C
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{(3, ­2), (5, ­1), (4, 0), (3, 1)}
Sep 15­3:30 PM
Two Functions and a Non­Function
Out of each set of relations determine which are the functions and which one in not a function. Write the domain and range of each.
6)
How can I tell if a relation is a function?
Relation A
Relation B
Relation A
Relation B
Relation C
7) Sep 15­3:31 PM
Relation C
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Chapter 3.2(a) Relations and Functions.notebook
September 26, 2016
Homework
P. 173­174 #1­20 (all)
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