Interval Notation

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FIRE UP!!
TUESDAY
Welcome BACK! 
1. Turn in your signed syllabus to the
front basket.
2. Pick up a Unit 1 Parent Function Graph
Packet
Why Learn Math??
Discuss with your neighbor
reasons you should learn
math!
http://youtu.be/yir86f0Uulw
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
• 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
4
Parent Function
Overview
• 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
Constant
Absolute Value
Reciprocal
Linear
Square Root
Quadratic
Cubic
Greatest
Integer
Function
(GIF)
Objectives
• I can write solutions in
Interval Notation format
• I can graph the 8 parent
functions
x2
x  3
3  x  8
These are all in Inequality
Notation
We are going to change them
to INTERVAL NOTATION
What is Interval Notation?
[ ]
means “included” (equal to)
Like a closed dot,
( )
, > <
means “not included”
Like an open dot,
, > <
HIGHLIGHT THIS IN YOUR NOTEBOOK!
Infinity???


All negative numbers
All positive numbers
We ALWAYS use ( ) with
infinity!!!
HIGHLIGHT THIS IN YOUR NOTEBOOK!
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]
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:
means "included" or "closed".
( means "not included" or "open".
Interval notation----
-1 0
2
graphing on a number line
6
Example:
x < 13 or x > 13
Note infinite
Is always open!
-1 0
Example:
2
6
13
x < 0 or 2 < x < 10
-1 0
open
2
6
13
closed
Practice
• Let’s do some practice with the small white
boards!
• Please get
– White Board
– Marker
– Eraser/Rag
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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