Algebra 1B –
Notes: Functions, Domain & Range
Objective:
Name: _________________________
Date: __________________________
Identify functions by looking at tables of values, equations, and graphs.
Identify Domain and Range of functions.
A relation is a __________________________________________________________.
Example 1 - Weather
Example 2 - Newspapers
Input – Year
Output – Number of Hurricanes
2004
18
2005
13
2006
14
2007
6
2008
17
Input – Year
2006
2007
2008
2009
IS IT A FUNCTION? ____________________
2010
IS IT A FUNCTION? ____________________
Example 3 – Vocabulary Size
Input – Age
Output – Average # of
Newspapers sold daily (in millions)
Output – Vocabulary Size (# of
Words)
Example 4 – Math!
Input – x
Output – y
3
-2
4
4
-1
1
4
0
0
5
1
1
5
2
4
6
3
9
4
16
IS IT A FUNCTION? ____________________
IS IT A FUNCTION? ____________________
a list of the ___________ values
(___ values) is called the _________.
a list of the ___________ values
(___ values) is called the __________.
Examples: Identify the domain and range of each relation.
x
y
-2
3
0
5
1
2
Domain:
_____________
x
y
4
2
4
-2
6
Range:
_____________
9
7
Function? _____
9
Domain:
_____________
Domain:
_____________
x
y
-2
4
-1
1
3
Range:
_____________
1
1
Range:
_____________
-3
Function? _____
2
4
Function? _____
Function: a relation is a function _____________________________________________.
Domain:
_____________
Domain:
_____________
Range:
_____________
Range:
_____________
Function? _____
Function? _____
Domain:
_____________
Range:
_____________
Function? _____
Another way to determine whether something is a function is to look at a graph of it.
For a graph to be a function,
it must pass _____________
______________________
______________________.
Algebra 1B
Notes: Function Notation & Evaluating Functions
Name: _________________________
Date: __________________________
Function Notation - In general, the symbol f(x) replaces y and is read as "the value of f at x"
or simply as "f or x.“ It does NOT mean f times x.
Example: f(x) = 2x – 3
Example: g(x) = -5x
Evaluating Functions
Example 1: ____________________
f(0) =
f(-20) =
f(2/3) =
Example 2: ____________________
f(8) =
f(-12) =
f(13) =
Example 3: ____________________
f(2) =
f(-2) =
f(0.5) =