1/15/2015
1-6
Relations and Functions
The Plan For Today
• Questions on 1-5
• Quiz: 1-1 to 1-5
• Lesson 1-6 (p. 44-46)
1. Cards
2. Volunteers
3. Groups
4. Volunteers 1+
5. Combo
6. Students’ Choice
1-6
Relations and Functions
Once you have submitted
your answers, please turn in
your quiz and use the time
to work on your homework.
Submitting Your Quiz
1. Go to - http://mhs.mrbrandl.com
2. Click on “Algebra II – Quiz 1”
3. Fill in and select your responses.
4. Click “Submit” at the bottom.
Identify the domain and range of relations and functions.
Determine whether a relation
is a function.
• Lesson 1-7 (p. 51-53)
Write functions using function notation.
If you don’t have your own
device, you may use my tablet
to submit your quiz or borrow
one from a classmate.
Evaluate and graph functions
• Assignment 1-6/1-7
HWQ #1 – Fri. 1/16
Chapter 1 Test – Thurs. 1/22
Holt Algebra 2
1-6
Holt Algebra 2
Relations and Functions
1-6
Relations and Functions
Mapping Diagram
A relation is a pairing of input values with
output values. It can be shown as a set of
ordered pairs (x,y), where x is an input and
y is an output.
Domain
Range
A
2
B
C
The set of input values for a relation is
called the domain, and the set of output
values is called the range.
Set of Ordered Pairs
{(2, A), (2, B), (2, C)}
(x, y)
Holt Algebra 2
1-6
(input, output)
(domain, range)
Holt Algebra 2
Relations and Functions
1-6
Relations and Functions
Not a function: The
relationship from number to
letter is not a function because
the domain value 2 is mapped to
the range values A, B, and C.
Function: The relationship from
letter to number is a function
because each letter in the domain
is mapped to only one number in
the range.
Holt Algebra 2
Holt Algebra 2
1
1/15/2015
1-6
1-6
Relations and Functions
Holt Algebra 2
1-6
Relations and Functions
Holt Algebra 2
1-6
Relations and Functions
Example 1B: Evaluating Functions
For each function, evaluate ƒ(0), ƒ
ƒ(–2).
, and
Use the graph to find the
corresponding y-value for
each x-value.
Relations and Functions
In the notation ƒ(x), ƒ is the name of the function.
The output ƒ(x) of a function is called the
dependent variable because it depends on the
input value of the function. The input x is called the
independent variable. When a function is
graphed, the independent variable is graphed on
the horizontal axis and the dependent variable is
graphed on the vertical axis.
Reading Math
A function whose graph is made up of
unconnected points is called a discrete function.
Holt Algebra 2
1-6
Holt Algebra 2
Relations and Functions
1-6
Relations and Functions
Today’s Assignment
1-6
p. 47-50
10-18, 22-28 even, 39-40, 44-46
What did you like?
What didn’t you like?
What did you learn?
What isn’t quite clear?
______ is awesome!
Please stop _________.
Anything else…
1-7
p. 54-57
12-17, 21, 26-27, 33-34, 43-44, 50-53
Holt Algebra 2
Holt Algebra 2
2