Assignment prior to the lesson on Piecewise Functions Algebra I CCSS.

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Presentation transcript:

Assignment prior to the lesson on Piecewise Functions Algebra I CCSS

Assignment prior to this lesson SAS Curriculum Pathways website Username: underline33three No password necessary!

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 on 10-3 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 Functions Algebra I CCSS

Piecewise Functions Algebra I CCSS

An Absolute Value function is a famous piecewise function

It is made up of two pieces

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 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.

There are special piecewise function called STEP FUNCTIONS and GREATEST INTEGER FUNCTIONS. Go to SAS Curriculum Pathways for a demo