Assignment prior to

the lesson on Piecewise Functions

Algebra I CCSS

Assignment prior to this lesson

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The main screen scrolls through 7 pictures. Click on the second one, then click on the blue ….

Go to Unit 10: Special Functions

I want you to look at

10-2 Piecewise-Defined Functions

and 10-3 Step Functions

Just try the GET READY tab on

10-2 Piecewise-Defined Functions

Then try the GET READY tab on

10-3 Step Functions

Then try page 4 of the LEARN tab on10-3 Step Functions

You are welcome (but not required) to look at pages 1-3

on the LEARN tab

Transition into CLASS DISCUSSION

/ TEACHING of Piecewise

FunctionsAlgebra I

CCSS

Piecewise Functions

Algebra I CCSS

An Absolute Value function is a famous piecewise function

An Absolute Value function is a famous piecewise function

It is made up of two pieces

( ) part of the timef x x x ( ) part of the timef x x x

An Absolute Value function is a famous piecewise function

If you try to merge them … you no longer have a function

It fails the vertical line test!

An Absolute Value function is a famous piecewise function

If you try to merge them … you no longer have a function

( ) if 0f x x x x

( ) if 0f x x x x

Unless, of course, you restrict the domain of each portion.

An Absolute Value function is a famous piecewise function

You can evaluate a piecewise function

You have to pay particularly close attention to the domain so that you

know which portion of the equation to plug your value into.

See if you can write the equations for the piecewise function g(x), restricting the domain appropriately.Note: there are three pieces

See if you can write the equations for the piecewise function f(x), restricting the domain appropriately.Note: there are three pieces

See if you can write the equations for the piecewise function f(x), restricting the domain appropriately.Note: there are three pieces

There are special piecewise function called

STEP FUNCTIONS

and

GREATEST INTEGER FUNCTIONS.

A step function is a piecewise function consisting only

of horizontal lines, or constants.

The greatest integer function, written as

is a step function that yields the greatest integer that is not larger than x.

( )f x x

There are special piecewise function called

STEP FUNCTIONSand

GREATEST INTEGER FUNCTIONS.

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