SlideShare une entreprise Scribd logo
1  sur  10
Functions
Analytic plane x-axis y-axis origin 1 st  quadrant (+,+) 2 nd   quadrant (-,+) 3 rd   quadrant  (-,-) 4 th   quadrant (+,-)
Ordered Pair: ,[object Object]
Example: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example: ,[object Object]
Equality of ordered pairs ,[object Object],[object Object],[object Object]
Notations of intervals: ,[object Object],A = [a, b] denotes the set of all real numbers between a and b (a and b are included). a b
a b A = (a, b) denotes the set of all real numbers between a and b (a and b are excluded). A = [a, b) denotes the set of all real numbers between a and b (a is included and b is excluded). a b
a b A = (a, b] denotes the set of all real numbers between a and b (a is excluded and b is included).
 

Contenu connexe

Tendances

Factor theorem solving cubic equations
Factor theorem solving cubic equationsFactor theorem solving cubic equations
Factor theorem solving cubic equationsAng Choon Cheng
 
Functions for Grade 10
Functions for Grade 10Functions for Grade 10
Functions for Grade 10Boipelo Radebe
 
t7 polar equations and graphs
t7 polar equations and graphst7 polar equations and graphs
t7 polar equations and graphsmath260
 
Remainder theorem and factorization of polynomials
Remainder theorem and factorization of polynomialsRemainder theorem and factorization of polynomials
Remainder theorem and factorization of polynomialssusoigto
 
4 areas in polar coordinates
4 areas in polar coordinates4 areas in polar coordinates
4 areas in polar coordinatesmath267
 
17 tangent planes and total differentials
17 tangent planes and total differentials17 tangent planes and total differentials
17 tangent planes and total differentialsmath267
 
Maths polynomials
Maths polynomialsMaths polynomials
Maths polynomialsavimehta14
 
4 3 reflecting graphs
4 3 reflecting graphs4 3 reflecting graphs
4 3 reflecting graphshisema01
 
Factor Theorem and Remainder Theorem
Factor Theorem and Remainder TheoremFactor Theorem and Remainder Theorem
Factor Theorem and Remainder TheoremRonalie Mejos
 
Remainder and factor theorems
Remainder and factor theoremsRemainder and factor theorems
Remainder and factor theoremsRon Eick
 
3 5 rectangular system and lines-x
3 5 rectangular system and lines-x3 5 rectangular system and lines-x
3 5 rectangular system and lines-xmath123b
 
Y11+gdc+maximize+your+use+of+the++ev+2
Y11+gdc+maximize+your+use+of+the++ev+2Y11+gdc+maximize+your+use+of+the++ev+2
Y11+gdc+maximize+your+use+of+the++ev+2estelav
 

Tendances (17)

Factor theorem solving cubic equations
Factor theorem solving cubic equationsFactor theorem solving cubic equations
Factor theorem solving cubic equations
 
Functions for Grade 10
Functions for Grade 10Functions for Grade 10
Functions for Grade 10
 
t7 polar equations and graphs
t7 polar equations and graphst7 polar equations and graphs
t7 polar equations and graphs
 
Remainder theorem and factorization of polynomials
Remainder theorem and factorization of polynomialsRemainder theorem and factorization of polynomials
Remainder theorem and factorization of polynomials
 
4 areas in polar coordinates
4 areas in polar coordinates4 areas in polar coordinates
4 areas in polar coordinates
 
Notes 3-4
Notes 3-4Notes 3-4
Notes 3-4
 
17 tangent planes and total differentials
17 tangent planes and total differentials17 tangent planes and total differentials
17 tangent planes and total differentials
 
Newton
NewtonNewton
Newton
 
Maths polynomials
Maths polynomialsMaths polynomials
Maths polynomials
 
4 3 reflecting graphs
4 3 reflecting graphs4 3 reflecting graphs
4 3 reflecting graphs
 
Factor Theorem and Remainder Theorem
Factor Theorem and Remainder TheoremFactor Theorem and Remainder Theorem
Factor Theorem and Remainder Theorem
 
Remainder and factor theorems
Remainder and factor theoremsRemainder and factor theorems
Remainder and factor theorems
 
3 5 rectangular system and lines-x
3 5 rectangular system and lines-x3 5 rectangular system and lines-x
3 5 rectangular system and lines-x
 
Ppt on polynomial
Ppt on polynomial Ppt on polynomial
Ppt on polynomial
 
Sam maths pres
Sam maths presSam maths pres
Sam maths pres
 
Y11+gdc+maximize+your+use+of+the++ev+2
Y11+gdc+maximize+your+use+of+the++ev+2Y11+gdc+maximize+your+use+of+the++ev+2
Y11+gdc+maximize+your+use+of+the++ev+2
 
1988 FRQs AP Calculus
1988 FRQs AP Calculus1988 FRQs AP Calculus
1988 FRQs AP Calculus
 

Similaire à Functions

Eighan values and diagonalization
Eighan values and diagonalization Eighan values and diagonalization
Eighan values and diagonalization gandhinagar
 
Additional math 1999
Additional math   1999Additional math   1999
Additional math 1999MUSAKILAVE
 
Set and Set operations, UITM KPPIM DUNGUN
Set and Set operations, UITM KPPIM DUNGUNSet and Set operations, UITM KPPIM DUNGUN
Set and Set operations, UITM KPPIM DUNGUNbaberexha
 
Class xi worksheet (9,10,11) two levels
Class xi worksheet (9,10,11) two levelsClass xi worksheet (9,10,11) two levels
Class xi worksheet (9,10,11) two levelsKarunaGupta1982
 
5 parametric equations, tangents and curve lengths in polar coordinates
5 parametric equations, tangents and curve lengths in polar coordinates5 parametric equations, tangents and curve lengths in polar coordinates
5 parametric equations, tangents and curve lengths in polar coordinatesmath267
 
33 parametric equations x
33 parametric equations x33 parametric equations x
33 parametric equations xmath266
 
Answers Of Discrete Mathematics
Answers Of Discrete MathematicsAnswers Of Discrete Mathematics
Answers Of Discrete MathematicsSabrina Green
 
Ch1 sets and_logic(1)
Ch1 sets and_logic(1)Ch1 sets and_logic(1)
Ch1 sets and_logic(1)Kwonpyo Ko
 
Class xi mathematics short questions
Class xi mathematics  short questionsClass xi mathematics  short questions
Class xi mathematics short questionsKarunaGupta1982
 
Set theory-ppt
Set theory-pptSet theory-ppt
Set theory-pptvipulAtri
 
Quaternion algebra
Quaternion algebraQuaternion algebra
Quaternion algebravikash0001
 
Question bank -xi (hots)
Question bank -xi (hots)Question bank -xi (hots)
Question bank -xi (hots)indu psthakur
 
05 tat math class xi_r&f-1_for website
05 tat math class xi_r&f-1_for website05 tat math class xi_r&f-1_for website
05 tat math class xi_r&f-1_for websiteVarun Kumar
 

Similaire à Functions (20)

Eighan values and diagonalization
Eighan values and diagonalization Eighan values and diagonalization
Eighan values and diagonalization
 
Mtk3013 chapter 2-3
Mtk3013   chapter 2-3Mtk3013   chapter 2-3
Mtk3013 chapter 2-3
 
Additional math 1999
Additional math   1999Additional math   1999
Additional math 1999
 
Math
MathMath
Math
 
Set and Set operations, UITM KPPIM DUNGUN
Set and Set operations, UITM KPPIM DUNGUNSet and Set operations, UITM KPPIM DUNGUN
Set and Set operations, UITM KPPIM DUNGUN
 
Class xi worksheet (9,10,11) two levels
Class xi worksheet (9,10,11) two levelsClass xi worksheet (9,10,11) two levels
Class xi worksheet (9,10,11) two levels
 
Course material mca
Course material   mcaCourse material   mca
Course material mca
 
Sets
SetsSets
Sets
 
5 parametric equations, tangents and curve lengths in polar coordinates
5 parametric equations, tangents and curve lengths in polar coordinates5 parametric equations, tangents and curve lengths in polar coordinates
5 parametric equations, tangents and curve lengths in polar coordinates
 
33 parametric equations x
33 parametric equations x33 parametric equations x
33 parametric equations x
 
SETS
SETSSETS
SETS
 
Answers Of Discrete Mathematics
Answers Of Discrete MathematicsAnswers Of Discrete Mathematics
Answers Of Discrete Mathematics
 
Relations and Functions 1
Relations and Functions 1Relations and Functions 1
Relations and Functions 1
 
Algebra
AlgebraAlgebra
Algebra
 
Ch1 sets and_logic(1)
Ch1 sets and_logic(1)Ch1 sets and_logic(1)
Ch1 sets and_logic(1)
 
Class xi mathematics short questions
Class xi mathematics  short questionsClass xi mathematics  short questions
Class xi mathematics short questions
 
Set theory-ppt
Set theory-pptSet theory-ppt
Set theory-ppt
 
Quaternion algebra
Quaternion algebraQuaternion algebra
Quaternion algebra
 
Question bank -xi (hots)
Question bank -xi (hots)Question bank -xi (hots)
Question bank -xi (hots)
 
05 tat math class xi_r&f-1_for website
05 tat math class xi_r&f-1_for website05 tat math class xi_r&f-1_for website
05 tat math class xi_r&f-1_for website
 

Plus de mstf mstf

Trigonometry by mstfdemirdag
Trigonometry by mstfdemirdagTrigonometry by mstfdemirdag
Trigonometry by mstfdemirdagmstf mstf
 
Functions by mstfdemirdag
Functions by mstfdemirdagFunctions by mstfdemirdag
Functions by mstfdemirdagmstf mstf
 
Trigonometric functions
Trigonometric functionsTrigonometric functions
Trigonometric functionsmstf mstf
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functionsmstf mstf
 
Sequences and series
Sequences and seriesSequences and series
Sequences and seriesmstf mstf
 
Pre geometry
Pre geometryPre geometry
Pre geometrymstf mstf
 
Solving linear equations in two
Solving linear equations in twoSolving linear equations in two
Solving linear equations in twomstf mstf
 
Natural numbers
Natural numbersNatural numbers
Natural numbersmstf mstf
 
Divisibility
DivisibilityDivisibility
Divisibilitymstf mstf
 
Prime numbers and factorization
Prime numbers and factorizationPrime numbers and factorization
Prime numbers and factorizationmstf mstf
 
Motion in two dimensions
Motion in two dimensionsMotion in two dimensions
Motion in two dimensionsmstf mstf
 
Relative motion
Relative motionRelative motion
Relative motionmstf mstf
 

Plus de mstf mstf (20)

Trigonometry by mstfdemirdag
Trigonometry by mstfdemirdagTrigonometry by mstfdemirdag
Trigonometry by mstfdemirdag
 
Functions by mstfdemirdag
Functions by mstfdemirdagFunctions by mstfdemirdag
Functions by mstfdemirdag
 
Trigonometric functions
Trigonometric functionsTrigonometric functions
Trigonometric functions
 
Quadratic functions
Quadratic functionsQuadratic functions
Quadratic functions
 
Sequences and series
Sequences and seriesSequences and series
Sequences and series
 
Pre geometry
Pre geometryPre geometry
Pre geometry
 
Solving linear equations in two
Solving linear equations in twoSolving linear equations in two
Solving linear equations in two
 
Natural numbers
Natural numbersNatural numbers
Natural numbers
 
Logic
LogicLogic
Logic
 
Density
DensityDensity
Density
 
Mechanics
MechanicsMechanics
Mechanics
 
Divisibility
DivisibilityDivisibility
Divisibility
 
Free fall
Free fallFree fall
Free fall
 
Prime numbers and factorization
Prime numbers and factorizationPrime numbers and factorization
Prime numbers and factorization
 
Exponents
ExponentsExponents
Exponents
 
Motion in two dimensions
Motion in two dimensionsMotion in two dimensions
Motion in two dimensions
 
Force
ForceForce
Force
 
Radicals
RadicalsRadicals
Radicals
 
Fractions
FractionsFractions
Fractions
 
Relative motion
Relative motionRelative motion
Relative motion
 

Dernier

SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024Lorenzo Miniero
 
Unleash Your Potential - Namagunga Girls Coding Club
Unleash Your Potential - Namagunga Girls Coding ClubUnleash Your Potential - Namagunga Girls Coding Club
Unleash Your Potential - Namagunga Girls Coding ClubKalema Edgar
 
Commit 2024 - Secret Management made easy
Commit 2024 - Secret Management made easyCommit 2024 - Secret Management made easy
Commit 2024 - Secret Management made easyAlfredo García Lavilla
 
"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii SoldatenkoFwdays
 
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)Mark Simos
 
SAP Build Work Zone - Overview L2-L3.pptx
SAP Build Work Zone - Overview L2-L3.pptxSAP Build Work Zone - Overview L2-L3.pptx
SAP Build Work Zone - Overview L2-L3.pptxNavinnSomaal
 
SALESFORCE EDUCATION CLOUD | FEXLE SERVICES
SALESFORCE EDUCATION CLOUD | FEXLE SERVICESSALESFORCE EDUCATION CLOUD | FEXLE SERVICES
SALESFORCE EDUCATION CLOUD | FEXLE SERVICESmohitsingh558521
 
Unraveling Multimodality with Large Language Models.pdf
Unraveling Multimodality with Large Language Models.pdfUnraveling Multimodality with Large Language Models.pdf
Unraveling Multimodality with Large Language Models.pdfAlex Barbosa Coqueiro
 
A Deep Dive on Passkeys: FIDO Paris Seminar.pptx
A Deep Dive on Passkeys: FIDO Paris Seminar.pptxA Deep Dive on Passkeys: FIDO Paris Seminar.pptx
A Deep Dive on Passkeys: FIDO Paris Seminar.pptxLoriGlavin3
 
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024BookNet Canada
 
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdf
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdfHyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdf
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdfPrecisely
 
TrustArc Webinar - How to Build Consumer Trust Through Data Privacy
TrustArc Webinar - How to Build Consumer Trust Through Data PrivacyTrustArc Webinar - How to Build Consumer Trust Through Data Privacy
TrustArc Webinar - How to Build Consumer Trust Through Data PrivacyTrustArc
 
The State of Passkeys with FIDO Alliance.pptx
The State of Passkeys with FIDO Alliance.pptxThe State of Passkeys with FIDO Alliance.pptx
The State of Passkeys with FIDO Alliance.pptxLoriGlavin3
 
What is DBT - The Ultimate Data Build Tool.pdf
What is DBT - The Ultimate Data Build Tool.pdfWhat is DBT - The Ultimate Data Build Tool.pdf
What is DBT - The Ultimate Data Build Tool.pdfMounikaPolabathina
 
Dev Dives: Streamline document processing with UiPath Studio Web
Dev Dives: Streamline document processing with UiPath Studio WebDev Dives: Streamline document processing with UiPath Studio Web
Dev Dives: Streamline document processing with UiPath Studio WebUiPathCommunity
 
WordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your BrandWordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your Brandgvaughan
 
Digital Identity is Under Attack: FIDO Paris Seminar.pptx
Digital Identity is Under Attack: FIDO Paris Seminar.pptxDigital Identity is Under Attack: FIDO Paris Seminar.pptx
Digital Identity is Under Attack: FIDO Paris Seminar.pptxLoriGlavin3
 
Moving Beyond Passwords: FIDO Paris Seminar.pdf
Moving Beyond Passwords: FIDO Paris Seminar.pdfMoving Beyond Passwords: FIDO Paris Seminar.pdf
Moving Beyond Passwords: FIDO Paris Seminar.pdfLoriGlavin3
 
Gen AI in Business - Global Trends Report 2024.pdf
Gen AI in Business - Global Trends Report 2024.pdfGen AI in Business - Global Trends Report 2024.pdf
Gen AI in Business - Global Trends Report 2024.pdfAddepto
 

Dernier (20)

SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024SIP trunking in Janus @ Kamailio World 2024
SIP trunking in Janus @ Kamailio World 2024
 
Unleash Your Potential - Namagunga Girls Coding Club
Unleash Your Potential - Namagunga Girls Coding ClubUnleash Your Potential - Namagunga Girls Coding Club
Unleash Your Potential - Namagunga Girls Coding Club
 
Commit 2024 - Secret Management made easy
Commit 2024 - Secret Management made easyCommit 2024 - Secret Management made easy
Commit 2024 - Secret Management made easy
 
"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko"Debugging python applications inside k8s environment", Andrii Soldatenko
"Debugging python applications inside k8s environment", Andrii Soldatenko
 
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)
Tampa BSides - Chef's Tour of Microsoft Security Adoption Framework (SAF)
 
SAP Build Work Zone - Overview L2-L3.pptx
SAP Build Work Zone - Overview L2-L3.pptxSAP Build Work Zone - Overview L2-L3.pptx
SAP Build Work Zone - Overview L2-L3.pptx
 
SALESFORCE EDUCATION CLOUD | FEXLE SERVICES
SALESFORCE EDUCATION CLOUD | FEXLE SERVICESSALESFORCE EDUCATION CLOUD | FEXLE SERVICES
SALESFORCE EDUCATION CLOUD | FEXLE SERVICES
 
Unraveling Multimodality with Large Language Models.pdf
Unraveling Multimodality with Large Language Models.pdfUnraveling Multimodality with Large Language Models.pdf
Unraveling Multimodality with Large Language Models.pdf
 
A Deep Dive on Passkeys: FIDO Paris Seminar.pptx
A Deep Dive on Passkeys: FIDO Paris Seminar.pptxA Deep Dive on Passkeys: FIDO Paris Seminar.pptx
A Deep Dive on Passkeys: FIDO Paris Seminar.pptx
 
DMCC Future of Trade Web3 - Special Edition
DMCC Future of Trade Web3 - Special EditionDMCC Future of Trade Web3 - Special Edition
DMCC Future of Trade Web3 - Special Edition
 
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024
New from BookNet Canada for 2024: Loan Stars - Tech Forum 2024
 
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdf
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdfHyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdf
Hyperautomation and AI/ML: A Strategy for Digital Transformation Success.pdf
 
TrustArc Webinar - How to Build Consumer Trust Through Data Privacy
TrustArc Webinar - How to Build Consumer Trust Through Data PrivacyTrustArc Webinar - How to Build Consumer Trust Through Data Privacy
TrustArc Webinar - How to Build Consumer Trust Through Data Privacy
 
The State of Passkeys with FIDO Alliance.pptx
The State of Passkeys with FIDO Alliance.pptxThe State of Passkeys with FIDO Alliance.pptx
The State of Passkeys with FIDO Alliance.pptx
 
What is DBT - The Ultimate Data Build Tool.pdf
What is DBT - The Ultimate Data Build Tool.pdfWhat is DBT - The Ultimate Data Build Tool.pdf
What is DBT - The Ultimate Data Build Tool.pdf
 
Dev Dives: Streamline document processing with UiPath Studio Web
Dev Dives: Streamline document processing with UiPath Studio WebDev Dives: Streamline document processing with UiPath Studio Web
Dev Dives: Streamline document processing with UiPath Studio Web
 
WordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your BrandWordPress Websites for Engineers: Elevate Your Brand
WordPress Websites for Engineers: Elevate Your Brand
 
Digital Identity is Under Attack: FIDO Paris Seminar.pptx
Digital Identity is Under Attack: FIDO Paris Seminar.pptxDigital Identity is Under Attack: FIDO Paris Seminar.pptx
Digital Identity is Under Attack: FIDO Paris Seminar.pptx
 
Moving Beyond Passwords: FIDO Paris Seminar.pdf
Moving Beyond Passwords: FIDO Paris Seminar.pdfMoving Beyond Passwords: FIDO Paris Seminar.pdf
Moving Beyond Passwords: FIDO Paris Seminar.pdf
 
Gen AI in Business - Global Trends Report 2024.pdf
Gen AI in Business - Global Trends Report 2024.pdfGen AI in Business - Global Trends Report 2024.pdf
Gen AI in Business - Global Trends Report 2024.pdf
 

Functions

  • 2. Analytic plane x-axis y-axis origin 1 st quadrant (+,+) 2 nd quadrant (-,+) 3 rd quadrant (-,-) 4 th quadrant (+,-)
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. a b A = (a, b) denotes the set of all real numbers between a and b (a and b are excluded). A = [a, b) denotes the set of all real numbers between a and b (a is included and b is excluded). a b
  • 9. a b A = (a, b] denotes the set of all real numbers between a and b (a is excluded and b is included).
  • 10.