Page 161 - Algebra 1

LESSON Differentiating Between Relations
25
and Functions
Warm Up
1. Vocabulary In the __________ (-5, 2), -5 is the __________ and 2 is
(20)
the __________.
2. Simplify (-4)2 + 32 - 23.
(3)
3. Find the value of y when x = 8. (20)
5y = -3x - 6
4. Find the value of x when y = -0.4.
(24)
x - 8y = 1.6
5. Multiple Choice Jenny has n dollars in her savings account. If she deposits (17) d dollars in her savings account each week, which expression represents
the amount she will have in her savings account at the end of a year? An+52d B 52d-n C n+d D 52n+d
The domain is the set of possible values for the independent variable (input values) of a set of ordered pairs.
The range is the set of values for the dependent variable (output values) of a set of ordered pairs.
A relation is a set of ordered pairs where each number in the domain is matched to one or more numbers in the range. Relations can also be represented using set notation, tables, diagrams, or equations.
Determining the Domain and Range of a Relation
New Concepts
Math Language
In an ordered pair (x, y), x is the independent variable and y is the dependent variable.
Example
1
Give the domain and range of the relation. {(2, 6), (2, 10), (8, 6), (5, 1), (4, 6), (3, 9)}
SOLUTION
Use a mapping diagram. Place the x-values
in the oval on the left, and the y-values in the oval
on the right. 3
The domain is all the x-values. The range is all the y-values. Domain: {2, 3, 4, 5, 8}
Range: {1, 6, 9, 10}
2
4 5 8
1 6 9 10
Online Connection www.SaxonMathResources.com
A function is a mathematical relationship pairing each value in the domain with exactly one value in the range.
146 Saxon Algebra 1