Algebra 1 Module 2 DBA Notes.docx - Representations of...

Representations of Relations (Lesson 2.01 p. 2)
A relation describes a relationship and pairs input values
with output values. It can represent a relation in several
ways.
In a Graph: To graph an ordered pair, start at the origin (0,
0). The first value (x) tells how many spaces to go right if
positive and left if negative. The second value (y) tells how
many spaces to go up if positive and down if negative.
In a Table: To write a table of values, list the x-values in one
column and the y-values in the second column.
In a Mapping: In a mapping, the x-values are connected to
the corresponding y-values using arrows.
Representations of Relations (Lesson 2.01 p. 3)
Focus Question
How do you determine if a relation is a function?
When this happens, the relation is called a function ( A
mathematical relationship in which each input value is paired
with exactly one output value ).
To determine whether a relation is a function you look at the
input, or x, values only.

Domain & Range (Lesson 2.01 p. 6)
Focus Question
How do you determine domain and range?
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Function Notation and Evaluating - (Lesson 2.02 p. 2-3
AND Lesson 2.04 p. 3)
Focus Question
How do you evaluate functions using function notation?

Function Form
c = 120 + 5x
f(x) = 120 + 5x
Writing in function notation means I am describing the
relationship between x, the input, and f(x), the output. The
output, f(x), is dependent on the value of x, and that is why
it is called a function of x.
Important
Input values aren't always represented using the variable x.
Any letter may be used. For example, if the variable t is used