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Chapter 5: Relations & Functions
Math 1201
Handout #1
Terms to Know
1.
Set
• A collection of distinct objects
• You may have a set of dishes in your kitchen, a set of sheets in your bed,
or a geometry set on your desk
• In math, you have done different sets of numbers such as the set of
Natural Numbers {1, 2, 3, 4, ...}, Whole Numbers {0,1, 2, 3, ...}, Integers {...3, -2, -1, 0, 1, 2, 3,...}
2.
Element
Each object in a set is called an element of the set
•
3.
Relation
• A way to associate the elements of one set with the elements of another
set
• We will represent relations as sets of ordered pairs (x, y), tables of values,
and in words. Later we will represent them as functions in two variables.
We will also read bar graphs and represent them in words, as ordered
pairs, and tables of values.
4.
Discrete Data
• Data values on a graph that are not connected.
• There is a finite (countable) number of values between any two values
5.
Continuous Data
• Data values that are connected on a graph
• There is an infinite (un-countable) number of values between any two
values
6.
Independent Variable
• The variable in an relation or equation that is assigned a value
• The first coordinate (number) in an ordered pair
• When graphing on the coordinate plane it is the x-coordinate (horizontal)
7.
Dependent Variable
• The variable in a relation or equation that has its value determined by the
choice of the other (independent) variable
• The second coordinate (number) in an ordered pair
• When graphing on the coordinate plane it is the y-coordinate (vertical)
Examples
1.
The table shows fruit and the names of colours.
a) Describe in words what the relation
shows.
b) In the space below the table add two more pairs of elements that would be
appropriate in the table
Page 1 of 3
Chapter 5: Relations & Functions
Math 1201
Handout #1
c)
Describe the relation using a set of ordered pairs.
2.
Animals can be associated with the biological classes that they belong to as
shown in the table.
a) Describe the relation in words
b) Represent the relation as a set of
ordered pairs
3.
The bar graph shows breeds of dogs and their average heights. Represent the
relation in:
a) Words
b) A set of ordered pairs
c)
A table of values
Page 2 of 3
Chapter 5: Relations & Functions
3.
Math 1201
Handout #1
Consider the relation shown in the graph below. Represent it
a) In words
b) As a set of ordered pairs
c)
In a table of values
4.
Athletes can be associated with their sports. Describe the relation
a) In words
b) As a set of ordered pairs
c)
In a table of values
Textbook: Pages 262 - 263
#3 a, describe in words and a set of ordered pairs;
#4 Describe in words, a set of ordered pairs and a table of values;
#6 Describe in words, a set of ordered pairs and a table of values;
#9 a
Page 3 of 3
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