SlideShare a Scribd company logo
1 of 25
Functions By Adrienne Calomino
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
x or input value y or output value ,[object Object],[object Object]
[object Object],[object Object],[object Object],Dog Cat Duck Lion Pig Rabbit 11 10 7 Domain Range
[object Object],Dog Cat Duck Lion Pig Rabbit 11 10 7 Domain Range
[object Object],Dog Cat Duck Lion Pig Rabbit 11 9 10 6 7 5 Domain Range ,[object Object]
Function ,[object Object],[object Object]
Which is a function? Why? Table A Table B Table A Range Domain 7 5 6 4 5 4 5 3 3 2 3 1 2 1 output input Range Domain 8 7 7 6 5 5 5 4 3 3 3 2 2 1 output input
Which is a function? Why? Table A Table B Table A 120 Russian 95 Japan 48 Pakistan 48 France 72 Italy 72 Germany 47 Mexico 61 U.K. 438 China 219 U.S. Million Users Cell phone use by country Russian 120 Japan 95 Pakistan 48 France 48 Italy 72 Germany 72 Mexico 47 U.K. 61 China 438 U.S. 219 Cell phone use by country Million Users
[object Object],Which is a function? Why? { (0,1) (0,-1), (1,2), (2,1), (3,1), (4,1) } { (0,1) (1,-1), (2,2), (-2,1), (3,2), (4,1) } Set A Set B State the domain and range.
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mapping a function
Why are these functions?  Give an example of an argument of a function. What is the domain and range? Table A Table B f(0) f(-3) f(-2) f(-1) f(3) f(2) f(1) f(x) = 2x Range Domain 0 0 -6 -3 -4 -2 -2 -1 6 3 4 2 2 1 output or f(x) input or x f(0) f(-4) f(4) f(-2) f(2) f(-1) f(1) f(x) = x 2 Range Domain 0 0 16 -4 16 4 4 -2 4 2 1 -1 1 1 output or f(x) input or x
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],B A
Notice that it is OK if two x-values map to the same y-value. However the test has to work for every value of x.
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

More Related Content

What's hot

Function and relation
Function and relationFunction and relation
Function and relationEfgelBolibol
 
3 2 representing functions
3 2 representing functions3 2 representing functions
3 2 representing functionslothomas
 
2.1 Functions and Their Graphs
2.1 Functions and Their Graphs2.1 Functions and Their Graphs
2.1 Functions and Their Graphshisema01
 
Functions and graphs
Functions and graphsFunctions and graphs
Functions and graphsSujata Tapare
 
Algebraic functions powerpoint
Algebraic functions powerpointAlgebraic functions powerpoint
Algebraic functions powerpointCaron White
 
Piecewise functions
Piecewise functionsPiecewise functions
Piecewise functionsLori Rapp
 
4.6 Relations And Functions
4.6 Relations And Functions4.6 Relations And Functions
4.6 Relations And Functionsguestd1dc2e
 
General Mathematics - Representation and Types of Functions
General Mathematics - Representation and Types of FunctionsGeneral Mathematics - Representation and Types of Functions
General Mathematics - Representation and Types of FunctionsJuan Miguel Palero
 
Different types of functions
Different types of functionsDifferent types of functions
Different types of functionsKatrina Young
 
Relations and functions
Relations and functionsRelations and functions
Relations and functionsDreams4school
 
Storyboard math
Storyboard mathStoryboard math
Storyboard mathshandex
 
Relations & Functions
Relations & FunctionsRelations & Functions
Relations & FunctionsJ Edwards
 
L2 graphs piecewise, absolute,and greatest integer
L2 graphs  piecewise, absolute,and greatest integerL2 graphs  piecewise, absolute,and greatest integer
L2 graphs piecewise, absolute,and greatest integerJames Tagara
 
Math functions, relations, domain & range
Math functions, relations, domain & rangeMath functions, relations, domain & range
Math functions, relations, domain & rangeRenee Scott
 
8.1 intro to functions
8.1 intro to functions8.1 intro to functions
8.1 intro to functionsBarbara Knab
 
Linear Systems - Domain & Range
Linear Systems - Domain & RangeLinear Systems - Domain & Range
Linear Systems - Domain & Rangeswartzje
 

What's hot (20)

Function and relation
Function and relationFunction and relation
Function and relation
 
3 2 representing functions
3 2 representing functions3 2 representing functions
3 2 representing functions
 
Functions
FunctionsFunctions
Functions
 
2.1 Functions and Their Graphs
2.1 Functions and Their Graphs2.1 Functions and Their Graphs
2.1 Functions and Their Graphs
 
Module 2 topic 1 notes
Module 2 topic 1 notesModule 2 topic 1 notes
Module 2 topic 1 notes
 
Functions and graphs
Functions and graphsFunctions and graphs
Functions and graphs
 
Functions
FunctionsFunctions
Functions
 
Algebraic functions powerpoint
Algebraic functions powerpointAlgebraic functions powerpoint
Algebraic functions powerpoint
 
Piecewise functions
Piecewise functionsPiecewise functions
Piecewise functions
 
4.6 Relations And Functions
4.6 Relations And Functions4.6 Relations And Functions
4.6 Relations And Functions
 
General Mathematics - Representation and Types of Functions
General Mathematics - Representation and Types of FunctionsGeneral Mathematics - Representation and Types of Functions
General Mathematics - Representation and Types of Functions
 
Different types of functions
Different types of functionsDifferent types of functions
Different types of functions
 
Relations and functions
Relations and functionsRelations and functions
Relations and functions
 
Storyboard math
Storyboard mathStoryboard math
Storyboard math
 
Relations & Functions
Relations & FunctionsRelations & Functions
Relations & Functions
 
L2 graphs piecewise, absolute,and greatest integer
L2 graphs  piecewise, absolute,and greatest integerL2 graphs  piecewise, absolute,and greatest integer
L2 graphs piecewise, absolute,and greatest integer
 
Function and graphs
Function and graphsFunction and graphs
Function and graphs
 
Math functions, relations, domain & range
Math functions, relations, domain & rangeMath functions, relations, domain & range
Math functions, relations, domain & range
 
8.1 intro to functions
8.1 intro to functions8.1 intro to functions
8.1 intro to functions
 
Linear Systems - Domain & Range
Linear Systems - Domain & RangeLinear Systems - Domain & Range
Linear Systems - Domain & Range
 

Similar to Functions

Lesson 1
Lesson 1Lesson 1
Lesson 1urenaa
 
Lesson 1
Lesson 1Lesson 1
Lesson 1urenaa
 
power point presentation on genmath_lesson1_2_.pptx
power point presentation on genmath_lesson1_2_.pptxpower point presentation on genmath_lesson1_2_.pptx
power point presentation on genmath_lesson1_2_.pptxdatumanongnormalah
 
Higher Maths 121 Sets And Functions 1205778086374356 2
Higher Maths 121 Sets And Functions 1205778086374356 2Higher Maths 121 Sets And Functions 1205778086374356 2
Higher Maths 121 Sets And Functions 1205778086374356 2Niccole Taylor
 
Higher Maths 1.2.1 - Sets and Functions
Higher Maths 1.2.1 - Sets and FunctionsHigher Maths 1.2.1 - Sets and Functions
Higher Maths 1.2.1 - Sets and Functionstimschmitz
 
Edsc 304 lesson 1
Edsc 304 lesson 1Edsc 304 lesson 1
Edsc 304 lesson 1urenaa
 
Lesson 4A - Inverses of Functions.ppt
Lesson 4A - Inverses of Functions.pptLesson 4A - Inverses of Functions.ppt
Lesson 4A - Inverses of Functions.pptssuser78a386
 
Chapter on Functions and Graphs.ppt
Chapter on Functions and Graphs.pptChapter on Functions and Graphs.ppt
Chapter on Functions and Graphs.pptPhongLan30
 
237654933 mathematics-t-form-6
237654933 mathematics-t-form-6237654933 mathematics-t-form-6
237654933 mathematics-t-form-6homeworkping3
 
Algebra 2 warm up 5.6.13
Algebra 2 warm up 5.6.13Algebra 2 warm up 5.6.13
Algebra 2 warm up 5.6.13Ron_Eick
 
Functions and Relations
Functions and RelationsFunctions and Relations
Functions and RelationsJailah13
 
Lesson 2 - Functions and their Graphs - NOTES.ppt
Lesson 2 - Functions and their Graphs - NOTES.pptLesson 2 - Functions and their Graphs - NOTES.ppt
Lesson 2 - Functions and their Graphs - NOTES.pptJaysonMagalong
 
Module 1 Lesson 1 Remediation Notes
Module 1 Lesson 1 Remediation NotesModule 1 Lesson 1 Remediation Notes
Module 1 Lesson 1 Remediation Notestoni dimella
 
Relations and Functions
Relations and FunctionsRelations and Functions
Relations and Functionstoni dimella
 
Relations and functions
Relations and functions Relations and functions
Relations and functions Nabeel Simair
 

Similar to Functions (20)

Lesson 1
Lesson 1Lesson 1
Lesson 1
 
Lesson 1
Lesson 1Lesson 1
Lesson 1
 
power point presentation on genmath_lesson1_2_.pptx
power point presentation on genmath_lesson1_2_.pptxpower point presentation on genmath_lesson1_2_.pptx
power point presentation on genmath_lesson1_2_.pptx
 
Higher Maths 121 Sets And Functions 1205778086374356 2
Higher Maths 121 Sets And Functions 1205778086374356 2Higher Maths 121 Sets And Functions 1205778086374356 2
Higher Maths 121 Sets And Functions 1205778086374356 2
 
Higher Maths 1.2.1 - Sets and Functions
Higher Maths 1.2.1 - Sets and FunctionsHigher Maths 1.2.1 - Sets and Functions
Higher Maths 1.2.1 - Sets and Functions
 
Edsc 304 lesson 1
Edsc 304 lesson 1Edsc 304 lesson 1
Edsc 304 lesson 1
 
Lesson 4A - Inverses of Functions.ppt
Lesson 4A - Inverses of Functions.pptLesson 4A - Inverses of Functions.ppt
Lesson 4A - Inverses of Functions.ppt
 
Chapter on Functions and Graphs.ppt
Chapter on Functions and Graphs.pptChapter on Functions and Graphs.ppt
Chapter on Functions and Graphs.ppt
 
237654933 mathematics-t-form-6
237654933 mathematics-t-form-6237654933 mathematics-t-form-6
237654933 mathematics-t-form-6
 
Algebra 2 warm up 5.6.13
Algebra 2 warm up 5.6.13Algebra 2 warm up 5.6.13
Algebra 2 warm up 5.6.13
 
First Partial Review
First Partial ReviewFirst Partial Review
First Partial Review
 
Functions and Relations
Functions and RelationsFunctions and Relations
Functions and Relations
 
Functions & graphs
Functions & graphsFunctions & graphs
Functions & graphs
 
Lesson 2 - Functions and their Graphs - NOTES.ppt
Lesson 2 - Functions and their Graphs - NOTES.pptLesson 2 - Functions and their Graphs - NOTES.ppt
Lesson 2 - Functions and their Graphs - NOTES.ppt
 
Functions
FunctionsFunctions
Functions
 
Module 1 Lesson 1 Remediation Notes
Module 1 Lesson 1 Remediation NotesModule 1 Lesson 1 Remediation Notes
Module 1 Lesson 1 Remediation Notes
 
Relations and Functions
Relations and FunctionsRelations and Functions
Relations and Functions
 
Evaluating function 1
Evaluating function 1Evaluating function 1
Evaluating function 1
 
Relations and functions
Relations and functions Relations and functions
Relations and functions
 
Functions
FunctionsFunctions
Functions
 

Recently uploaded

ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...JhezDiaz1
 
Types of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxTypes of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxEyham Joco
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfMahmoud M. Sallam
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxEPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxRaymartEstabillo3
 
MICROBIOLOGY biochemical test detailed.pptx
MICROBIOLOGY biochemical test detailed.pptxMICROBIOLOGY biochemical test detailed.pptx
MICROBIOLOGY biochemical test detailed.pptxabhijeetpadhi001
 
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdf
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdfFraming an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdf
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdfUjwalaBharambe
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPCeline George
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxiammrhaywood
 
Earth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatEarth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatYousafMalik24
 
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfEnzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfSumit Tiwari
 
Roles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceRoles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceSamikshaHamane
 
Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Jisc
 
CELL CYCLE Division Science 8 quarter IV.pptx
CELL CYCLE Division Science 8 quarter IV.pptxCELL CYCLE Division Science 8 quarter IV.pptx
CELL CYCLE Division Science 8 quarter IV.pptxJiesonDelaCerna
 
Hierarchy of management that covers different levels of management
Hierarchy of management that covers different levels of managementHierarchy of management that covers different levels of management
Hierarchy of management that covers different levels of managementmkooblal
 
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfLike-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfMr Bounab Samir
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Celine George
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 

Recently uploaded (20)

ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
 
Types of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptxTypes of Journalistic Writing Grade 8.pptx
Types of Journalistic Writing Grade 8.pptx
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdf
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxEPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
 
MICROBIOLOGY biochemical test detailed.pptx
MICROBIOLOGY biochemical test detailed.pptxMICROBIOLOGY biochemical test detailed.pptx
MICROBIOLOGY biochemical test detailed.pptx
 
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdf
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdfFraming an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdf
Framing an Appropriate Research Question 6b9b26d93da94caf993c038d9efcdedb.pdf
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERP
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
 
Earth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatEarth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice great
 
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdfEnzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
Enzyme, Pharmaceutical Aids, Miscellaneous Last Part of Chapter no 5th.pdf
 
Roles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceRoles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in Pharmacovigilance
 
Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...Procuring digital preservation CAN be quick and painless with our new dynamic...
Procuring digital preservation CAN be quick and painless with our new dynamic...
 
ESSENTIAL of (CS/IT/IS) class 06 (database)
ESSENTIAL of (CS/IT/IS) class 06 (database)ESSENTIAL of (CS/IT/IS) class 06 (database)
ESSENTIAL of (CS/IT/IS) class 06 (database)
 
CELL CYCLE Division Science 8 quarter IV.pptx
CELL CYCLE Division Science 8 quarter IV.pptxCELL CYCLE Division Science 8 quarter IV.pptx
CELL CYCLE Division Science 8 quarter IV.pptx
 
Hierarchy of management that covers different levels of management
Hierarchy of management that covers different levels of managementHierarchy of management that covers different levels of management
Hierarchy of management that covers different levels of management
 
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
 
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfLike-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 

Functions

  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Which is a function? Why? Table A Table B Table A Range Domain 7 5 6 4 5 4 5 3 3 2 3 1 2 1 output input Range Domain 8 7 7 6 5 5 5 4 3 3 3 2 2 1 output input
  • 9. Which is a function? Why? Table A Table B Table A 120 Russian 95 Japan 48 Pakistan 48 France 72 Italy 72 Germany 47 Mexico 61 U.K. 438 China 219 U.S. Million Users Cell phone use by country Russian 120 Japan 95 Pakistan 48 France 48 Italy 72 Germany 72 Mexico 47 U.K. 61 China 438 U.S. 219 Cell phone use by country Million Users
  • 10.
  • 11.
  • 12.
  • 14. Why are these functions? Give an example of an argument of a function. What is the domain and range? Table A Table B f(0) f(-3) f(-2) f(-1) f(3) f(2) f(1) f(x) = 2x Range Domain 0 0 -6 -3 -4 -2 -2 -1 6 3 4 2 2 1 output or f(x) input or x f(0) f(-4) f(4) f(-2) f(2) f(-1) f(1) f(x) = x 2 Range Domain 0 0 16 -4 16 4 4 -2 4 2 1 -1 1 1 output or f(x) input or x
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. Notice that it is OK if two x-values map to the same y-value. However the test has to work for every value of x.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.