August 23, 2011 August 23, 2011 1) Please put your
signed syllabus on the overhead projector.
2) Put your name on any supplies and put them on the long table.
3) Have your binder, dividers, paper on your desk.
SET UP BINDERS:SET UP BINDERS:
Assignment SheetAssignment Sheet Warm-upsWarm-ups NotesNotes Home WorkHome Work QuizzesQuizzes Function BookFunction Book VocabularyVocabulary
I can’t I can’t FunctionFunction without Candy!without Candy!
Functions
For each input value there is one and only one
output value.
VocabularyVocabulary Domain – Domain –
Range – Range –
Independent Variable – Independent Variable –
Dependent Variable - Dependent Variable -
All input values All input values (x-values)(x-values)
All output values All output values (y-values)(y-values)
Input variable (x variable)Input variable (x variable)
Output variable (y variable)Output variable (y variable)
Is it a Function?Is it a Function?
Domain: ____________________Domain: ____________________
Range: _____________________Range: _____________________
{0, 2, 4, 6}{0, 2, 4, 6}
{24, 27, 30, 33}{24, 27, 30, 33}
Domain: ____________________Domain: ____________________
Range: _____________________Range: _____________________
{4, 7, 11, 13}{4, 7, 11, 13}
{10, 20, 35, 45}{10, 20, 35, 45}
Here is a discrete graph.
Is this a function?Starburst
Hershey’s
1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Out
put
Notice there is more than one output value for the input values of 1 and of 2. ( Vertical Line Test)
Functions vs Relations
A function is a relation between two variables or quantities
with only one output value for each input value.
We have only one dependent (y) value for each individual independent (x) value.
Which graph shows a function?
Starburst
Hershey’s
1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Out
put
Starburst
Hershey’s
1 3 5 2 4 6
Skittles
Snickers
Reese’s
Input
Out
put
How do you know?
A B
Which of the following display functional relationships?
A
B
C
How do you know?
Which of the following display functional relationships?
(4,12),(5,18),(4,24),(5,30)
)3,5(),2,3(),2,6(),3,4(
B
A
C ( 7, 1),(5, 8),(7, 1),(10,10)
How do you know?
Parent Functions
Constant
y = 0f(x) = 0
Parent Functions
Identity
y = xf(x) = x
Parent Functions
Quadratic
y = x2
f(x) = x2
Parent Functions
Cubic
y = x3
f(x) = x3
Parent Functions
Absolute Value
y = |x|f(x) = |x|
Homework:
worksheet 1-1 Read pages A2 and A3 in your
textbook.
Complete all of the WS IN PENCIL, showing work if necessary
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