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TUESDAY. Turn in your signed syllabus to the front basket. Pick up a Unit 1 Parent Function Graph Packet. FIRE UP!!. Welcome BACK! . Discuss with your neighbor reasons you should learn math!. http:// youtu.be/yir86f0Uulw. Fortune 500 Companies.

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Fire up

TUESDAY

Turn in your signed syllabus to the front basket.

Pick up a Unit 1 Parent Function Graph Packet

FIRE UP!!

Welcome BACK! 


Fire up

Discuss with your neighbor reasons you should learn math!

http://youtu.be/yir86f0Uulw


Fortune 500 companies

Fortune 500 Companies

  • We can teach our employees the technical parts of the job, but they need to know how to ask the right questions!!

  • We are looking for people that are reliable and can problem solve!!!


Parent functions

Parent Functions

Students should be able to graph and state the characteristics for the following 8 parent functions

Constant

Identity/Linear

Quadratic

Cubic

Absolute Value

Square Root

Reciprocal

Greatest Integer


Parent function overview

Parent FunctionOverview

  • Unit 1 will be focusing on 8 parent functions.

  • You learned many of these in Algebra-2, but we will explore more characteristics!

  • Let’s see what you recall from Alg-2????

  • Sketch a graph of the 8 parent functions on the worksheet you picked up


Objectives

Objectives

  • I can write solutions in Interval Notation format

  • I cangraph the 8 parent functions


These are all in inequality notation

These are all in Inequality Notation

We are going to change them to INTERVAL NOTATION


What is interval notation

Like a closed dot, , ><

Like an open dot, , > <

What is Interval Notation?

[ ] means “included” (equal to)

( ) means “not included”

HIGHLIGHT THIS IN YOUR NOTEBOOK!


Infinity

All negative numbers

All positive numbers

Infinity???

We ALWAYS use ( ) with infinity!!!

HIGHLIGHT THIS IN YOUR NOTEBOOK!


Interval notation

Interval Notation

  • Domain: All x-values that makeup the graph

  • Range: All y-values that makeup graph

  • Interval Notation: Used to show a range of values:

  • Example: If the domain is all numbers between –3 to 6 then in interval notation:

  • (-3, 6)

  • If we want to include the numbers –3 and 6, then

  • [-3, 6]


Fire up

-1

0

2

6

Interval Notation

Sets may be described in many ways:  by roster, by set-builder notation,

by interval notation,  by graphing on a number line, and/or by Venn diagrams.

We will be using interval notation and number lines!

An interval is a connected subset of numbers.

Example:

Interval notation----

graphing on a number line


Fire up

13

13

-1

-1

0

0

2

2

6

6

Example:

x < 13  or   x > 13

Note infinite

Is always open!

x < 0   or   2 < x< 10

Example:

open

closed


Practice

Practice

  • Let’s do some practice with the small white boards!

  • Please get

    • White Board

    • Marker

    • Eraser/Rag


Homework

Homework

  • Read Textbook pages A2-A3 in back on interval notation if you need additional help

  • WS 1-1

  • Start Parent Function Packets See graphs at back of textbook.


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