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Math first week notes

by: Shayla Pedigo

Math first week notes Math 15800

Marketplace > Purdue University > Mathmatics > Math 15800 > Math first week notes
Shayla Pedigo
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David Norris

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About this Document

In case you weren't in class the first week or just need a recap these notes will help.
David Norris
Class Notes




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This 4 page Class Notes was uploaded by Shayla Pedigo on Tuesday January 26, 2016. The Class Notes belongs to Math 15800 at Purdue University taught by David Norris in Spring 2016. Since its upload, it has received 63 views. For similar materials see Math in Mathmatics at Purdue University.


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Date Created: 01/26/16
MATH 15800 Notes FUNCTIONS De nition A function is a rule that assigns to a given input a particular output Picture n V Example 1 fx 2x3 gt 203 gt 21l gt 2aI3 gt Example 2 fx 2X2 3 gt 252 3 gt 2 123 gt Let39s try something different f5 f1 gt 2f3a gt fa2 gt 35 58 223a23 229a23 ibute 218a23 6 2a 3 2ag a23 2a a2a43 2a24a43 2a28a83 11 Example 3 fx l2x3 Example 4 fx x2 10 Solve for fx 0 f2 l43 xx10O x100 o DOMAIN AND RANGE OF A FUNCTION l Not in the domain Because it is DNE Example 1 Let fx 1 3x1 Find domain off Notinthe donu ni Because tisNE 0 AVDN De nition gtThe Domain of f are the inputs that have quotlegalquot outputs De nition gtThe Range of f are the outputs That are actually attained by f 00 13 U 13 Example 2 fx 1 xz3x2 x23x20 Find domain off x2x10 x2 x1 Domain 001 U 12 U 9m Iff is a fraction check for domain problems when dividing by 0 Le when denominator is 0 Example 3 fx 12X 1 note f0 120 1 Find domain off 1 DNE gtgtOutput is DNE when we square root a negative number if and only if the square root has a negaive Domain x gt 12 quotquotquotuquot i and only if oo 12 oo 2xlt1 x lt 12 12 00 Example 4 fx x fraction part x2 divide by 0 when denominator is 0 if and only if x2 1 0 x1 x 10 WW x1 x1 oo 1 0 1 oo part Gomain 01 U 900 take square root of negative number when square root has a negative number if and only if x lt 0 Example 5 fx x1x2 First term problem when x 1 lt0 Find domain x lt 1 Second term problem when x2 lt 0 W X lt 2 oo 1 2 oo Domain 2 oo


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