August 23, 2011 1)Please put your signed syllabus on the overhead projector. 2)Put your name on any...

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