SlideShare uma empresa Scribd logo
1 de 4
Baixar para ler offline
©4 a2M011p3N wKuuYtSaX DSJoyfAtgw2a1rceV 0LPLHCy.9 j gAJlblm DrGiRgthEtnsy Zrnexs6eJrqvretdm.I 5 YMgagdief 1wvi3t4ho rIvnQfhiBnuiqtieZ 0CXa1lBc3uTl5ujsC.u Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____
Date________________
Average Rates of Change
For each problem, find the average rate of change of the function over the given interval.
1) y = x2
− x + 1; [0, 3]
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
2) y = −
1
x − 2
; [−3, −2]
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
For each problem, find the equation of the secant line that intersects the given points on the function.
3) y = −x2
+ x + 2; (−2, −4), (1, 2)
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
4) y = −
1
x
; (1, −1), (3, −
1
3)
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
-1-
©C Q2f0c1i3X QK3uhtZaS 5SBomf0t9wcaurLeq PLfLcCf.4 K mATlSlv 0raiegohLtlsl frDehsTeqrivZewdc.E U nM7aEdYeK swSiQtZhl DIfnXfAiEnEilt7eo 3CyaOlocouQluupsD.i Worksheet by Kuta Software LLC
For each problem, find the average rate of change of the function over the given interval.
5) y = x2
+ 2; [−2, −
3
2
] 6) y = 2x2
− 2x + 1; [−1, −
1
2
]
7) y = −
1
x + 2
; [−1, −
1
2
] 8) y = 2x2
+ x + 2; [0,
1
2
]
For each problem, find the equation of the secant line that intersects the given points on the function.
9) y = −x2
− 2; (1, −3), (3
2
, −
17
4 ) 10) y =
1
x + 3
; (−1,
1
2), (−
1
2
,
2
5)
11) y =
1
x − 1
; (−2, −
1
3), (−
3
2
, −
2
5) 12) y = −
1
x
; (1, −1), (3
2
, −
2
3)
Critical thinking question:
13) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide
two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second
photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM.
Does the photo evidence prove that the driver broke the speed limit during this time?
-2-
©n 02d0j1G3b LKfuottaV SSeonf1t7wHa4roeK 9LlLxC2.p m LAPlJl7 orUiSg8hktFsj 8rseksReDrrv1eadt.Q E IMWaBdte4 zwtiRtthV sIJnDfci9nSiltKel NCYaalLc7uTlUuBsV.Q Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____
Date________________
Average Rates of Change
For each problem, find the average rate of change of the function over the given interval.
1) y = x2
− x + 1; [0, 3]
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
2
2) y = −
1
x − 2
; [−3, −2]
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
1
20
For each problem, find the equation of the secant line that intersects the given points on the function.
3) y = −x2
+ x + 2; (−2, −4), (1, 2)
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
y = 2x
4) y = −
1
x
; (1, −1), (3, −
1
3)
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
y =
1
3
x −
4
3
-1-
©1 Q2g0z1s3f KKOuntway AStoNf9t2wHair9eA 5LDLkCz.L R 3A7lAlo frLixgbh8tSsp 3r2ebsUeXrAvrexdq.l G xMea8dvev hwZiStGh1 7IhnVf1iVnSiRtweT TCca0lWcVu8lYunso.b Worksheet by Kuta Software LLC
For each problem, find the average rate of change of the function over the given interval.
5) y = x2
+ 2; [−2, −
3
2
]
−
7
2
6) y = 2x2
− 2x + 1; [−1, −
1
2
]
−5
7) y = −
1
x + 2
; [−1, −
1
2
]
2
3
8) y = 2x2
+ x + 2; [0,
1
2
]
2
For each problem, find the equation of the secant line that intersects the given points on the function.
9) y = −x2
− 2; (1, −3), (3
2
, −
17
4 )
y = −
5
2
x −
1
2
10) y =
1
x + 3
; (−1,
1
2), (−
1
2
,
2
5)
y = −
1
5
x +
3
10
11) y =
1
x − 1
; (−2, −
1
3), (−
3
2
, −
2
5)
y = −
2
15
x −
3
5
12) y = −
1
x
; (1, −1), (3
2
, −
2
3)
y =
2
3
x −
5
3
Critical thinking question:
13) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide
two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second
photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM.
Does the photo evidence prove that the driver broke the speed limit during this time?
Yes. The average rate of change is 62 mph, so the driver must have been breaking the speed
limit some of the time.
-2-
Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com

Mais conteúdo relacionado

Semelhante a 03 - Average Rates of Changec Cameron 1 Sara Hill.pdf

Chapters 3 and 4 Review WS - 2Sets.pdf
Chapters 3 and 4 Review WS - 2Sets.pdfChapters 3 and 4 Review WS - 2Sets.pdf
Chapters 3 and 4 Review WS - 2Sets.pdfbwlomas
 
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docxLynellBull52
 
Factoring quadratic expressions
Factoring quadratic expressionsFactoring quadratic expressions
Factoring quadratic expressionsTania Martinez
 
The efficiency of the inference system knowledge
The efficiency of the inference system knowledgeThe efficiency of the inference system knowledge
The efficiency of the inference system knowledgeeSAT Publishing House
 
Solving_Inequalities.pdf
Solving_Inequalities.pdfSolving_Inequalities.pdf
Solving_Inequalities.pdfTsubasa101
 
Radicals and Rational Exponents.pdf
Radicals and Rational Exponents.pdfRadicals and Rational Exponents.pdf
Radicals and Rational Exponents.pdfKayzeelynMorit1
 
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...nutkoon
 
Design of predictive controller for smooth set point tracking for fast dynami...
Design of predictive controller for smooth set point tracking for fast dynami...Design of predictive controller for smooth set point tracking for fast dynami...
Design of predictive controller for smooth set point tracking for fast dynami...eSAT Journals
 
Risk assessment of a hydroelectric dam with parallel
Risk assessment of a hydroelectric dam with parallelRisk assessment of a hydroelectric dam with parallel
Risk assessment of a hydroelectric dam with paralleleSAT Publishing House
 
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...toukaigi
 
Case Studies & Network Planning Tools
Case Studies & Network Planning ToolsCase Studies & Network Planning Tools
Case Studies & Network Planning ToolsEM Archieve
 
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...ijtsrd
 
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docxoswald1horne84988
 
Smoothed Particle Galerkin Method Formulation.pdf
Smoothed Particle Galerkin Method Formulation.pdfSmoothed Particle Galerkin Method Formulation.pdf
Smoothed Particle Galerkin Method Formulation.pdfkeansheng
 
The efficiency of the inference system knowledge strategy for the position co...
The efficiency of the inference system knowledge strategy for the position co...The efficiency of the inference system knowledge strategy for the position co...
The efficiency of the inference system knowledge strategy for the position co...eSAT Journals
 
Thesis-presentation: Tuenti Engineering
Thesis-presentation: Tuenti EngineeringThesis-presentation: Tuenti Engineering
Thesis-presentation: Tuenti EngineeringMarcus Ljungblad
 
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...Jhonatan Minchán
 

Semelhante a 03 - Average Rates of Changec Cameron 1 Sara Hill.pdf (20)

Chapters 3 and 4 Review WS - 2Sets.pdf
Chapters 3 and 4 Review WS - 2Sets.pdfChapters 3 and 4 Review WS - 2Sets.pdf
Chapters 3 and 4 Review WS - 2Sets.pdf
 
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx
©q a2K081r2e XKMurteaj 0SForfHtywkawr7ei 8LjLdCv.z R uAzlmla r.docx
 
Factoring quadratic expressions
Factoring quadratic expressionsFactoring quadratic expressions
Factoring quadratic expressions
 
The efficiency of the inference system knowledge
The efficiency of the inference system knowledgeThe efficiency of the inference system knowledge
The efficiency of the inference system knowledge
 
Solving_Inequalities.pdf
Solving_Inequalities.pdfSolving_Inequalities.pdf
Solving_Inequalities.pdf
 
Radicals and Rational Exponents.pdf
Radicals and Rational Exponents.pdfRadicals and Rational Exponents.pdf
Radicals and Rational Exponents.pdf
 
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...
13200836 solution-manual-process-dynamics-and-control-donald-r-coughanowr-130...
 
E2 f8 bộ binh
E2 f8 bộ binhE2 f8 bộ binh
E2 f8 bộ binh
 
Design of predictive controller for smooth set point tracking for fast dynami...
Design of predictive controller for smooth set point tracking for fast dynami...Design of predictive controller for smooth set point tracking for fast dynami...
Design of predictive controller for smooth set point tracking for fast dynami...
 
Risk assessment of a hydroelectric dam with parallel
Risk assessment of a hydroelectric dam with parallelRisk assessment of a hydroelectric dam with parallel
Risk assessment of a hydroelectric dam with parallel
 
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...
Adaptive Control Scheme with Parameter Adaptation - From Human Motor Control ...
 
Case Studies & Network Planning Tools
Case Studies & Network Planning ToolsCase Studies & Network Planning Tools
Case Studies & Network Planning Tools
 
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...
An Exponential Observer Design for a Class of Chaotic Systems with Exponentia...
 
1. limits
1. limits1. limits
1. limits
 
51542 0131469657 ism-1
51542 0131469657 ism-151542 0131469657 ism-1
51542 0131469657 ism-1
 
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx
©` u2z0E1Y6N AKruqtUaT US_oDfHtvwdaSroeE GLULwCG.k Q uA_lWl s.docx
 
Smoothed Particle Galerkin Method Formulation.pdf
Smoothed Particle Galerkin Method Formulation.pdfSmoothed Particle Galerkin Method Formulation.pdf
Smoothed Particle Galerkin Method Formulation.pdf
 
The efficiency of the inference system knowledge strategy for the position co...
The efficiency of the inference system knowledge strategy for the position co...The efficiency of the inference system knowledge strategy for the position co...
The efficiency of the inference system knowledge strategy for the position co...
 
Thesis-presentation: Tuenti Engineering
Thesis-presentation: Tuenti EngineeringThesis-presentation: Tuenti Engineering
Thesis-presentation: Tuenti Engineering
 
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...
Ernest f. haeussler, richard s. paul y richard j. wood. matemáticas para admi...
 

Mais de Dr Robert Craig PhD

Hofstra Living environment Dr Rob
Hofstra Living environment Dr RobHofstra Living environment Dr Rob
Hofstra Living environment Dr RobDr Robert Craig PhD
 
Chapter 2-Your text book ves 5.pptx
Chapter 2-Your text book ves 5.pptxChapter 2-Your text book ves 5.pptx
Chapter 2-Your text book ves 5.pptxDr Robert Craig PhD
 
Brown dwarfs and planets jaslyn.pdf
Brown dwarfs and planets jaslyn.pdfBrown dwarfs and planets jaslyn.pdf
Brown dwarfs and planets jaslyn.pdfDr Robert Craig PhD
 
Day 1 Martin file from syllabus ves 5.pptx
Day 1 Martin file from syllabus ves 5.pptxDay 1 Martin file from syllabus ves 5.pptx
Day 1 Martin file from syllabus ves 5.pptxDr Robert Craig PhD
 
Astronomy chapter 1 power point.pptx
Astronomy chapter 1 power point.pptxAstronomy chapter 1 power point.pptx
Astronomy chapter 1 power point.pptxDr Robert Craig PhD
 
5Page43 how to classify stars parkslope heard from Annie.pdf
5Page43 how to classify stars parkslope  heard from Annie.pdf5Page43 how to classify stars parkslope  heard from Annie.pdf
5Page43 how to classify stars parkslope heard from Annie.pdfDr Robert Craig PhD
 
1-D Kinematics AP Lab Graphing.docx
1-D Kinematics AP Lab Graphing.docx1-D Kinematics AP Lab Graphing.docx
1-D Kinematics AP Lab Graphing.docxDr Robert Craig PhD
 
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdfDr Robert Craig PhD
 
chapter 2 redone parkslope ves 4.pdf
chapter 2 redone parkslope ves 4.pdfchapter 2 redone parkslope ves 4.pdf
chapter 2 redone parkslope ves 4.pdfDr Robert Craig PhD
 
season_path_of_the_sun_and_latitude.pdf
season_path_of_the_sun_and_latitude.pdfseason_path_of_the_sun_and_latitude.pdf
season_path_of_the_sun_and_latitude.pdfDr Robert Craig PhD
 

Mais de Dr Robert Craig PhD (20)

Hofstra Living environment Dr Rob
Hofstra Living environment Dr RobHofstra Living environment Dr Rob
Hofstra Living environment Dr Rob
 
pdf (4) 4.pdf
pdf (4) 4.pdfpdf (4) 4.pdf
pdf (4) 4.pdf
 
Mastering_Assignments.pdf.pdf
Mastering_Assignments.pdf.pdfMastering_Assignments.pdf.pdf
Mastering_Assignments.pdf.pdf
 
Lecture3.pdf
Lecture3.pdfLecture3.pdf
Lecture3.pdf
 
Lecture2.pdf
Lecture2.pdfLecture2.pdf
Lecture2.pdf
 
Lecture0.pdf
Lecture0.pdfLecture0.pdf
Lecture0.pdf
 
lecture 11 of 12 ves 1.pptx
lecture 11 of 12 ves 1.pptxlecture 11 of 12 ves 1.pptx
lecture 11 of 12 ves 1.pptx
 
Chapter 2-Your text book ves 5.pptx
Chapter 2-Your text book ves 5.pptxChapter 2-Your text book ves 5.pptx
Chapter 2-Your text book ves 5.pptx
 
Brown dwarfs and planets jaslyn.pdf
Brown dwarfs and planets jaslyn.pdfBrown dwarfs and planets jaslyn.pdf
Brown dwarfs and planets jaslyn.pdf
 
Day 1 Martin file from syllabus ves 5.pptx
Day 1 Martin file from syllabus ves 5.pptxDay 1 Martin file from syllabus ves 5.pptx
Day 1 Martin file from syllabus ves 5.pptx
 
Astronomy chapter 1 power point.pptx
Astronomy chapter 1 power point.pptxAstronomy chapter 1 power point.pptx
Astronomy chapter 1 power point.pptx
 
5Page43 how to classify stars parkslope heard from Annie.pdf
5Page43 how to classify stars parkslope  heard from Annie.pdf5Page43 how to classify stars parkslope  heard from Annie.pdf
5Page43 how to classify stars parkslope heard from Annie.pdf
 
1-D Kinematics AP Lab Graphing.docx
1-D Kinematics AP Lab Graphing.docx1-D Kinematics AP Lab Graphing.docx
1-D Kinematics AP Lab Graphing.docx
 
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf
5.4- Measuring the Earth with Eratosthenes. Ves 2.pdf
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
 
Physics chapter 1.docx
Physics chapter 1.docxPhysics chapter 1.docx
Physics chapter 1.docx
 
chapter 2 redone parkslope ves 4.pdf
chapter 2 redone parkslope ves 4.pdfchapter 2 redone parkslope ves 4.pdf
chapter 2 redone parkslope ves 4.pdf
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
 
season_path_of_the_sun_and_latitude.pdf
season_path_of_the_sun_and_latitude.pdfseason_path_of_the_sun_and_latitude.pdf
season_path_of_the_sun_and_latitude.pdf
 
phys40115050-course-outline.pdf
phys40115050-course-outline.pdfphys40115050-course-outline.pdf
phys40115050-course-outline.pdf
 

Último

Practical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxPractical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxKatherine Villaluna
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?TechSoup
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxraviapr7
 
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRATanmoy Mishra
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...CaraSkikne1
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17Celine George
 
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfMaximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfTechSoup
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.raviapr7
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17Celine George
 
CAULIFLOWER BREEDING 1 Parmar pptx
CAULIFLOWER BREEDING 1 Parmar pptxCAULIFLOWER BREEDING 1 Parmar pptx
CAULIFLOWER BREEDING 1 Parmar pptxSaurabhParmar42
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesCeline George
 
Benefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationBenefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationMJDuyan
 
How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17Celine George
 
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptx
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptxPISA-VET launch_El Iza Mohamedou_19 March 2024.pptx
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptxEduSkills OECD
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfMohonDas
 
Patterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxPatterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxMYDA ANGELICA SUAN
 

Último (20)

Practical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptxPractical Research 1 Lesson 9 Scope and delimitation.pptx
Practical Research 1 Lesson 9 Scope and delimitation.pptx
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptx
 
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
 
5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...5 charts on South Africa as a source country for international student recrui...
5 charts on South Africa as a source country for international student recrui...
 
How to Solve Singleton Error in the Odoo 17
How to Solve Singleton Error in the  Odoo 17How to Solve Singleton Error in the  Odoo 17
How to Solve Singleton Error in the Odoo 17
 
Prelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quizPrelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quiz
 
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdfMaximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
Maximizing Impact_ Nonprofit Website Planning, Budgeting, and Design.pdf
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17How to Add a many2many Relational Field in Odoo 17
How to Add a many2many Relational Field in Odoo 17
 
Finals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quizFinals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quiz
 
CAULIFLOWER BREEDING 1 Parmar pptx
CAULIFLOWER BREEDING 1 Parmar pptxCAULIFLOWER BREEDING 1 Parmar pptx
CAULIFLOWER BREEDING 1 Parmar pptx
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 Sales
 
Benefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive EducationBenefits & Challenges of Inclusive Education
Benefits & Challenges of Inclusive Education
 
How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17
 
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptx
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptxPISA-VET launch_El Iza Mohamedou_19 March 2024.pptx
PISA-VET launch_El Iza Mohamedou_19 March 2024.pptx
 
Diploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdfDiploma in Nursing Admission Test Question Solution 2023.pdf
Diploma in Nursing Admission Test Question Solution 2023.pdf
 
Patterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxPatterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptx
 

03 - Average Rates of Changec Cameron 1 Sara Hill.pdf

  • 1. ©4 a2M011p3N wKuuYtSaX DSJoyfAtgw2a1rceV 0LPLHCy.9 j gAJlblm DrGiRgthEtnsy Zrnexs6eJrqvretdm.I 5 YMgagdief 1wvi3t4ho rIvnQfhiBnuiqtieZ 0CXa1lBc3uTl5ujsC.u Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name___________________________________ Period____ Date________________ Average Rates of Change For each problem, find the average rate of change of the function over the given interval. 1) y = x2 − x + 1; [0, 3] x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 2) y = − 1 x − 2 ; [−3, −2] x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 For each problem, find the equation of the secant line that intersects the given points on the function. 3) y = −x2 + x + 2; (−2, −4), (1, 2) x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 4) y = − 1 x ; (1, −1), (3, − 1 3) x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 -1-
  • 2. ©C Q2f0c1i3X QK3uhtZaS 5SBomf0t9wcaurLeq PLfLcCf.4 K mATlSlv 0raiegohLtlsl frDehsTeqrivZewdc.E U nM7aEdYeK swSiQtZhl DIfnXfAiEnEilt7eo 3CyaOlocouQluupsD.i Worksheet by Kuta Software LLC For each problem, find the average rate of change of the function over the given interval. 5) y = x2 + 2; [−2, − 3 2 ] 6) y = 2x2 − 2x + 1; [−1, − 1 2 ] 7) y = − 1 x + 2 ; [−1, − 1 2 ] 8) y = 2x2 + x + 2; [0, 1 2 ] For each problem, find the equation of the secant line that intersects the given points on the function. 9) y = −x2 − 2; (1, −3), (3 2 , − 17 4 ) 10) y = 1 x + 3 ; (−1, 1 2), (− 1 2 , 2 5) 11) y = 1 x − 1 ; (−2, − 1 3), (− 3 2 , − 2 5) 12) y = − 1 x ; (1, −1), (3 2 , − 2 3) Critical thinking question: 13) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. Does the photo evidence prove that the driver broke the speed limit during this time? -2-
  • 3. ©n 02d0j1G3b LKfuottaV SSeonf1t7wHa4roeK 9LlLxC2.p m LAPlJl7 orUiSg8hktFsj 8rseksReDrrv1eadt.Q E IMWaBdte4 zwtiRtthV sIJnDfci9nSiltKel NCYaalLc7uTlUuBsV.Q Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name___________________________________ Period____ Date________________ Average Rates of Change For each problem, find the average rate of change of the function over the given interval. 1) y = x2 − x + 1; [0, 3] x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 2 2) y = − 1 x − 2 ; [−3, −2] x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 1 20 For each problem, find the equation of the secant line that intersects the given points on the function. 3) y = −x2 + x + 2; (−2, −4), (1, 2) x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 y = 2x 4) y = − 1 x ; (1, −1), (3, − 1 3) x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 y = 1 3 x − 4 3 -1-
  • 4. ©1 Q2g0z1s3f KKOuntway AStoNf9t2wHair9eA 5LDLkCz.L R 3A7lAlo frLixgbh8tSsp 3r2ebsUeXrAvrexdq.l G xMea8dvev hwZiStGh1 7IhnVf1iVnSiRtweT TCca0lWcVu8lYunso.b Worksheet by Kuta Software LLC For each problem, find the average rate of change of the function over the given interval. 5) y = x2 + 2; [−2, − 3 2 ] − 7 2 6) y = 2x2 − 2x + 1; [−1, − 1 2 ] −5 7) y = − 1 x + 2 ; [−1, − 1 2 ] 2 3 8) y = 2x2 + x + 2; [0, 1 2 ] 2 For each problem, find the equation of the secant line that intersects the given points on the function. 9) y = −x2 − 2; (1, −3), (3 2 , − 17 4 ) y = − 5 2 x − 1 2 10) y = 1 x + 3 ; (−1, 1 2), (− 1 2 , 2 5) y = − 1 5 x + 3 10 11) y = 1 x − 1 ; (−2, − 1 3), (− 3 2 , − 2 5) y = − 2 15 x − 3 5 12) y = − 1 x ; (1, −1), (3 2 , − 2 3) y = 2 3 x − 5 3 Critical thinking question: 13) The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. Does the photo evidence prove that the driver broke the speed limit during this time? Yes. The average rate of change is 62 mph, so the driver must have been breaking the speed limit some of the time. -2- Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com