2.1
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This document discusses functions, equations, and graphs. It defines relations and functions, and how to represent them using ordered pairs, mapping diagrams, and graphs. Functions are defined as relations where each input corresponds to exactly one output. The vertical line test can be used to determine if a graph represents a function. Function rules use function notation to represent the relationship between inputs and outputs algebraically. Examples are provided to illustrate these concepts.
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2.1 Functions and Their Graphs
The domain is the set of all possible square footages, which is 1450 to 2100 square feet. The range is the set of all possible costs, which would be $75 * 1450 = $108,750 to $75 * 2100 = $157,500.
So the domain is [1450, 2100] and the range is [108750, 157500].
Function notation by sadiq
This document provides an overview of function notation and how to work with functions. It defines what a function is as a relation that assigns a single output value to each input value. It shows how functions can be represented using standard notation like f(x) and discusses evaluating functions by inputting values. Examples are provided of determining if a relationship represents a function, evaluating functions from tables and graphs, and solving functional equations.
3.3
A system of inequalities consists of two or more inequalities. The solution to a system of inequalities is the region of the coordinate plane that is shaded by both individual inequalities. To solve a system of inequalities graphically, you graph each inequality individually and the solution is the overlap of the two shaded half-plane regions. You can then check solutions by testing points in the overlapping region.
5.1[1]
This document defines key concepts related to polynomials and polynomial functions. It defines monomials as terms involving variables and exponents, and polynomials as sums of monomials. The degree of a polynomial is the highest exponent among its terms. Polynomial functions are polynomials written in terms of a single variable. Standard form arranges polynomial terms by descending degree. Polynomials are classified by degree and number of terms. Higher degree polynomials can have more turning points and their end behavior depends on the leading term. Examples show determining standard form, classifying polynomials, identifying end behavior and increasing/decreasing parts of graphs.
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This document provides an overview of algebraic expressions and how to work with them. It covers the order of operations, writing expressions from word phrases, evaluating expressions, definitions of terms, coefficients, constants, and like terms. It also discusses simplifying expressions by combining like terms. Examples are provided to demonstrate evaluating expressions and simplifying by combining like terms. The homework assigned is to complete selected problems on page 22.
7.3 daqy 2
Logarithmic functions are inverses of exponential functions. To graph a logarithmic function:
1. Identify the inverse exponential form.
2. Create a table of values for the exponential form.
3. Invert the ordered pairs.
4. Plot the points and sketch the graph of the logarithm.
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This document introduces logarithmic functions as inverses of exponential functions. It defines logarithms as the inverse of an exponential function y = bx, such that y = bx is equivalent to logby = x. The document provides examples of writing exponential equations in logarithmic form and vice versa. It also demonstrates how to evaluate logarithms by using the definition to write them in exponential form and setting the exponents equal. Finally, it defines the common logarithm as a logarithm with base 10, which can be written as logx.
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2.1 Functions and Their Graphs
The domain is the set of all possible square footages, which is 1450 to 2100 square feet. The range is the set of all possible costs, which would be $75 * 1450 = $108,750 to $75 * 2100 = $157,500.
So the domain is [1450, 2100] and the range is [108750, 157500].
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This document provides an overview of function notation and how to work with functions. It defines what a function is as a relation that assigns a single output value to each input value. It shows how functions can be represented using standard notation like f(x) and discusses evaluating functions by inputting values. Examples are provided of determining if a relationship represents a function, evaluating functions from tables and graphs, and solving functional equations.
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A system of inequalities consists of two or more inequalities. The solution to a system of inequalities is the region of the coordinate plane that is shaded by both individual inequalities. To solve a system of inequalities graphically, you graph each inequality individually and the solution is the overlap of the two shaded half-plane regions. You can then check solutions by testing points in the overlapping region.
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This document defines key concepts related to polynomials and polynomial functions. It defines monomials as terms involving variables and exponents, and polynomials as sums of monomials. The degree of a polynomial is the highest exponent among its terms. Polynomial functions are polynomials written in terms of a single variable. Standard form arranges polynomial terms by descending degree. Polynomials are classified by degree and number of terms. Higher degree polynomials can have more turning points and their end behavior depends on the leading term. Examples show determining standard form, classifying polynomials, identifying end behavior and increasing/decreasing parts of graphs.
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This document provides an overview of algebraic expressions and how to work with them. It covers the order of operations, writing expressions from word phrases, evaluating expressions, definitions of terms, coefficients, constants, and like terms. It also discusses simplifying expressions by combining like terms. Examples are provided to demonstrate evaluating expressions and simplifying by combining like terms. The homework assigned is to complete selected problems on page 22.
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It'd justify a very different situations than a normally one of them but it was the first thing that happened in my mind to be able and to do that with my life as was Washington Washington's most mostly non catholic Christian but the there I don't think it's it'd go away with it but it it's it'd just make a an inch inches for an inches long and maybe it would have a lot to be said but I think it's just make me feel
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9.1 9.2 9.3 using the graph calc
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Know about the five famous artists who have transitioned to Big Band Music from Swing Music. Here is a glimpse of their work and contributions.
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留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
The Gallery of Shadows, In the heart of a bustling city
In the heart of a bustling city, hidden away from the modern chaos …
created with AI assistance…
Barbie Movie Review - The Astras.pdfffff
Barbie Movie Review has gotten brilliant surveys for its fun and creative story. Coordinated by Greta Gerwig, it stars Margot Robbie as Barbie and Ryan Gosling as Insight. Critics adore its perky humor, dynamic visuals, and intelligent take on the notorious doll's world. It's lauded for being engaging for both kids and grown-ups. The Astras profoundly prescribes observing the Barbie Review for a delightful and colorful cinematic involvement.https://theastras.com/hca-member-gradebooks/hca-gradebook-barbie/
Modern Radio Frequency Access Control Systems: The Key to Efficiency and Safety
Today's fast-paced environment worries companies of all sizes about efficiency and security. Businesses are constantly looking for new and better solutions to solve their problems, whether it's data security or facility access. RFID for access control technologies have revolutionized this.
Unveiling Paul Haggis Shaping Cinema Through Diversity. .pdf
Paul Haggis is undoubtedly a visionary filmmaker whose work has not only shaped cinema but has also pushed boundaries when it comes to diversity and representation within the industry. From his thought-provoking scripts to his engaging directorial style, Haggis has become a prominent figure in the world of film.
Everything You Need to Know About IPTV Ireland.pdf
The way we consume television has evolved dramatically over the past decade. Internet Protocol Television (IPTV) has emerged as a popular alternative to traditional cable and satellite TV, offering a wide range of channels and on-demand content via the internet. In Ireland, IPTV is rapidly gaining traction, with Xtreame HDTV being one of the prominent providers in the market. This comprehensive guide will delve into everything you need to know about IPTV Ireland, focusing on Xtreame HDTV, its features, benefits, and how it is revolutionizing TV viewing for Irish audiences.
哪里买(osu毕业证书)美国俄勒冈州立大学毕业证双学位证书原版一模一样
原版纸张【微信：741003700 】【(osu毕业证书)美国俄勒冈州立大学毕业证，双学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
The Enigmatic Portrait, In the heart of a sleepy town
In the heart of a sleepy town nestled between rolling hills and whispering pines …
created with AI assistance…
高仿(nyu毕业证书)美国纽约大学毕业证文凭毕业证原版一模一样
原版纸张【微信：741003700 】【(nyu毕业证书)美国纽约大学毕业证、文凭毕业证】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
From Teacher to OnlyFans: Brianna Coppage's Story at 28
At 28, Brianna Coppage left her teaching career to become an OnlyFans content creator. This bold move into digital entrepreneurship allowed her to harness her creativity and build a new identity. Brianna's experience highlights the intersection of technology and personal branding in today's economy.
Leonardo DiCaprio House: A Journey Through His Extravagant Real Estate Portfolio
Introduction
Leonardo DiCaprio, A name synonymous with Hollywood excellence. is not only known for his stellar acting career but also for his impressive real estate investments. The "Leonardo DiCaprio house" is a topic that piques the interest of many. as the Oscar-winning actor has amassed a diverse portfolio of luxurious properties. DiCaprio's homes reflect his varied tastes and commitment to sustainability. from retreats to historic mansions. This article will delve into the fascinating world of Leonardo DiCaprio's real estate. Exploring the details of his most notable residences. and the unique aspects that make them stand out.
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Leonardo DiCaprio House: Malibu Beachfront Retreat
A Prime Location
His Malibu beachfront house is one of the most famous properties in Leonardo DiCaprio's real estate portfolio. Situated in the exclusive Carbon Beach. also known as "Billionaire's Beach," this property boasts stunning ocean views and private beach access. The "Leonardo DiCaprio house" in Malibu is a testament to the actor's love for the sea and his penchant for luxurious living.
Architectural Highlights
The Malibu house features a modern design with clean lines, large windows. and open spaces blending indoor and outdoor living. The expansive deck and patio areas provide ample space for entertaining guests or enjoying a quiet sunset. The house has state-of-the-art amenities. including a gourmet kitchen, a home theatre, and many guest suites.
Sustainable Features
Leonardo DiCaprio is a well-known environmental activist. whose Malibu house reflects his commitment to sustainability. The property incorporates solar panels, energy-efficient appliances, and sustainable building materials. The landscaping around the house is also designed to be water-efficient. featuring drought-resistant plants and intelligent irrigation systems.
Leonardo DiCaprio House: Hollywood Hills Hideaway
Privacy and Seclusion
Another remarkable property in Leonardo DiCaprio's collection is his Hollywood Hills house. This secluded retreat offers privacy and tranquility. making it an ideal escape from the hustle and bustle of Los Angeles. The "Leonardo DiCaprio house" in Hollywood Hills nestled among lush greenery. and offers panoramic views of the city and surrounding landscapes.
Design and Amenities
The Hollywood Hills house is a mid-century modern gem characterized by its sleek design and floor-to-ceiling windows. The open-concept living space is perfect for entertaining. while the cozy bedrooms provide a comfortable retreat. The property also features a swimming pool, and outdoor dining area. and a spacious deck that overlooks the cityscape.
Environmental Initiatives
The Hollywood Hills house incorporates several green features that are in line with DiCaprio's environmental values. The home has solar panels, energy-efficient lighting, and a rainwater harvesting system. Additionally, the landscaping designed to support local wildlife and promote
The Evolution of the Leonardo DiCaprio Haircut: A Journey Through Style and C...
Leonardo DiCaprio, a name synonymous with Hollywood stardom and acting excellence. has captivated audiences for decades with his talent and charisma. But, the Leonardo DiCaprio haircut is one aspect of his public persona that has garnered attention. From his early days as a teenage heartthrob to his current status as a seasoned actor and environmental activist. DiCaprio's hairstyles have evolved. reflecting both his personal growth and the changing trends in fashion. This article delves into the many phases of the Leonardo DiCaprio haircut. exploring its significance and impact on pop culture.
Authenticity in Motion Pictures: How Steve Greisen Retains Real Stories
Learn about Steve Greisen's dedication to capture the spirit of his subjects in his documentaries with honesty and integrity.
Orpah Winfrey Dwayne Johnson: Titans of Influence and Inspiration
Introduction
In the realm of entertainment, few names resonate as Orpah Winfrey Dwayne Johnson. Both figures have carved unique paths in the industry. achieving unparalleled success and becoming iconic symbols of perseverance, resilience, and inspiration. This article delves into the lives, careers. and enduring legacies of Orpah Winfrey Dwayne Johnson. exploring how their journeys intersect and what we can learn from their remarkable stories.
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Early Life and Backgrounds
Orpah Winfrey: From Humble Beginnings to Media Mogul
Orpah Winfrey, often known as Oprah due to a misspelling on her birth certificate. was born on January 29, 1954, in Kosciusko, Mississippi. Raised in poverty by her grandmother, Winfrey's early life was marked by hardship and adversity. Despite these challenges. she demonstrated a keen intellect and an early talent for public speaking.
Winfrey's journey to success began with a scholarship to Tennessee State University. where she studied communication. Her first job in media was as a co-anchor for the local evening news in Nashville. This role paved the way for her eventual transition to talk show hosting. where she found her true calling.
Dwayne Johnson: From Wrestling Royalty to Hollywood Superstar
Dwayne Johnson, also known by his ring name "The Rock," was born on May 2, 1972, in Hayward, California. He comes from a family of professional wrestlers, with both his father, Rocky Johnson. and his grandfather, Peter Maivia, being notable figures in the wrestling world. Johnson's early life was spent moving between New Zealand and the United States. experiencing a variety of cultural influences.
Before entering the world of professional wrestling. Johnson had aspirations of becoming a professional football player. He played college football at the University of Miami. where he was part of a national championship team. But, injuries curtailed his football career, leading him to follow in his family's footsteps and enter the wrestling ring.
Career Milestones
Orpah Winfrey: The Queen of All Media
Winfrey's career breakthrough came in 1986 when she launched "The Oprah Winfrey Show." The show became a cultural phenomenon. drawing millions of viewers daily and earning many awards. Winfrey's empathetic and candid interviewing style resonated with audiences. helping her tackle diverse and often challenging topics.
Beyond her talk show, Winfrey expanded her empire to include the creation of Harpo Productions. a multimedia production company. She also launched "O, The Oprah Magazine" and OWN: Oprah Winfrey Network, further solidifying her status as a media mogul.
Dwayne Johnson: From The Ring to The Big Screen
Dwayne Johnson's wrestling career took off in the late 1990s. when he became one of the most charismatic and popular figures in WWE. His larger-than-life persona and catchphrases endeared him to fans. making him a household name. But, Johnson had ambitions beyond the wrestling ring.
In the early 20
Christian Louboutin: Innovating with Red Soles
Christian Louboutin is celebrated for his innovative approach to footwear design, marked by his trademark red soles. This in-depth look at his life and career explores the origins of his creativity, the milestones in his journey, and the impact of his work on the fashion industry. Learn how Louboutin's bold vision and dedication to excellence have made his brand synonymous with luxury and style.
DIGIDEVTV A New area of OTT Distribution
At Digidev, we are working to be the leader in interactive streaming platforms of choice by smart device users worldwide.
Our goal is to become the ultimate distribution service of entertainment content. The Digidev application will offer the next generation television highway for users to discover and engage in a variety of content. While also providing a fresh and
innovative approach towards advertainment with vast revenue opportunities. Designed and developed by Joe Q. Bretz
The Unbelievable Tale of Dwayne Johnson Kidnapping: A Riveting Saga
Introduction
The notion of Dwayne Johnson kidnapping seems straight out of a Hollywood thriller. Dwayne "The Rock" Johnson, known for his larger-than-life persona, immense popularity. and action-packed filmography, is the last person anyone would envision being a victim of kidnapping. Yet, the bizarre and riveting tale of such an incident, filled with twists and turns. has captured the imagination of many. In this article, we delve into the intricate details of this astonishing event. exploring every aspect, from the dramatic rescue operation to the aftermath and the lessons learned.
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The Origins of the Dwayne Johnson Kidnapping Saga
Dwayne Johnson: A Brief Background
Before discussing the specifics of the kidnapping. it is crucial to understand who Dwayne Johnson is and why his kidnapping would be so significant. Born May 2, 1972, Dwayne Douglas Johnson is an American actor, producer, businessman. and former professional wrestler. Known by his ring name, "The Rock," he gained fame in the World Wrestling Federation (WWF, now WWE) before transitioning to a successful career in Hollywood.
Johnson's filmography includes blockbuster hits such as "The Fast and the Furious" series, "Jumanji," "Moana," and "San Andreas." His charismatic personality, impressive physique. and action-star status have made him a beloved figure worldwide. Thus, the news of his kidnapping would send shockwaves across the globe.
Setting the Scene: The Day of the Kidnapping
The incident of Dwayne Johnson's kidnapping began on an ordinary day. Johnson was filming his latest high-octane action film set to break box office records. The location was a remote yet scenic area. chosen for its rugged terrain and breathtaking vistas. perfect for the film's climactic scenes.
But, beneath the veneer of normalcy, a sinister plot was unfolding. Unbeknownst to Johnson and his team, a group of criminals had planned his abduction. hoping to leverage his celebrity status for a hefty ransom. The stage was set for an event that would soon dominate worldwide headlines and social media feeds.
The Abduction: Unfolding the Dwayne Johnson Kidnapping
The Moment of Capture
On the day of the kidnapping, everything seemed to be proceeding as usual on set. Johnson and his co-stars and crew were engrossed in shooting a particularly demanding scene. As the day wore on, the production team took a short break. providing the kidnappers with the perfect opportunity to strike.
The abduction was executed with military precision. A group of masked men, armed and organized, infiltrated the set. They created chaos, taking advantage of the confusion to isolate Johnson. Johnson was outnumbered and caught off guard despite his formidable strength and fighting skills. The kidnappers overpowered him, bundled him into a waiting vehicle. and sped away, leaving everyone on set in a state of shock and disbelief.
The Immediate Aftermath
The immediate aftermath of the Dwayne Johnson kidnappin
定制(uow毕业证书)卧龙岗大学毕业证文凭学位证书原版一模一样
原版一模一样【微信：741003700 】【(uow毕业证书)卧龙岗大学毕业证文凭学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
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2.1
- 1. CHAPTER 2: FUNCTIONS, EQUATIONS, AND GRAPHS 2.1 Relations and Graphs
- 2. RELATIONS A relation is a set of pairs of input and output values. There are four ways to represent relations
- 3. EXAMPLE: REPRESENTING RELATIONS The monthly average water temperature of the Gulf of Mexico in Key West, Florida varies during the year. In January, the average water temperature is 69°F, in February, 70°F, in March, 75°F and in April, 78°F. What is one way to represent this relation?
- 4. DEFINITIONS The domain of a relation is the set of inputs, also called the x-coordinates, of the ordered pairs. The range is the set of outputs, also called the y- coordinates, of the ordered pairs.
- 5. EXAMPLE: FIND THE DOMAIN AND RANGE OF EACH.
- 6. FUNCTIONS A function is a relation in which each element of the domain corresponds to exactly one element of the range. When using a mapping diagram to represent a relation, a function has only one arrow from each element of the domain. Example:
- 7. EXAMPLE: IS THE RELATION A FUNCTION?
- 8. THE VERTICAL LINE TEST The vertical line test is used to test whether a graph represents a function. The vertical line test states that if any vertical line passes through more than one point on the graph of a relation, then the relation is not a function.
- 9. EXAMPLE: USE THE VERTICAL LINE TEST. WHICH GRAPH(S) REPRESENTS A FUNCTION?
- 10. FUNCTIONS A function rule is an equation that represents an output value in terms of an input value. We write a function rule in function notation.
- 11. EXAMPLE: USING FUNCTION NOTATION For f ( x ) = −2 x, + 5 what is the output for 1 the inputs: −3,0,& 4
- 12. EXAMPLE: USING FUNCTION NOTATION For f ( x ) = −4 x + 1 ,what is the output for the inputs: −2,0,5
- 13. EXAMPLE: Tickets to a concert are available online for $35 each plus a handling fee of $2.50. The total cost is a function of the number of tickets bought. What function rule models the cost of the concert tickets? Evaluate the function for 4 tickets.
- 14. EXAMPLE You are buying bottles of a sports drink for a softball team. Each bottle costs $1.19. What function rule models the cost of a purchase. Evaluate the function for 15 bottles.
Editor's Notes
- January = 1 February = 2
- Can Skip depending on Time
- C(t)=35t+2.50