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f.. Realnumbers R ~ S..t.~--------~I-.-.---·----------------I I. ~~r-- -+-lv_l_ea_n_l--'ng"'--- ..--.----l Ie Integers yY\ ~ (' ~()

€ l. \ , etI Natural Numbers N

Whole Numbers WRationalNumbers QIrrational Numbers Q

Math10

NOTES - 6.3 Domain & Range

Set Notation

Recall "Interval Notation":

Bracket

00

Examples:Domain: All real numbers between 0 and 10, inclusive: .Range: All real numbers between 0 and 20, inclusive:

Co I \O'J[O\2..0J

SETNOTATION- Similar to interval notation (shows the upper and lower limits in brackets)- BUT this method also shows whether the values for x and yare integers, real

numbers, etc.

- Uses curly brackets

Symbols we need to know:

>

<

1

. ,

. )

How to write set notation: \.. t.:>u.lh 4-ho. . i., A .\ to pr-, ;J ,X f.)JL 0,"" uS .vOrno,n . .. V o

~ de-\-: ()t, \liA \v\() ()~t R.. l (~C\ \

D" . { I f\\A \ry\ OQr1

ornain IS written x upper and lower limits of x, X e} I.. l~(\~.~)Range is written { V I upper and lower limits of V, V x e _ }

Ex 1: '\ fZ an g-vDomain: All real numbers between a and la, inclusive:

\\),vJ~( \\N\;\-:)( \S 8(~O\i-(J ~(.ec,u.o.\ +0 0 (')(~ 0)\J.f¥k( \ ,mI"\- :.-)(. \ S \~ s S ~hO (\ Of .t.qu.cd +0 10 ( X

~ X \ 0 L X L 10 ) 'I-. E. r<. JRange: All .real numbers between 0 and 20, inclusive: .

'----'" \ \)uJ~ vUf>pd

biD)

\ \ (YI :+- ~ ~ 0\I i<' lOt ...~~ Z 0

<: I : I 1 I 1.1 I I I I I 11••• 1 I II I).10 ·9 ..a ·7 -6 -5 "" ..J ·2 -1 0 1 2 '3 4 5 6 7 e 9 10

~)( \-'-1 L 'A L ~) )(t/Z. 1Range

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