CHAPTER 4 : FUNCTIONS AND THEIR GRAPHS 4.1 Definition of Function A function from one set X to another set Y is a rule that assigns each element in X to one element in Y. 4.1.1 Notation If f denotes a function from X to Y‚ we write 4.1.2 Domain and range X is known as the domain of f and Y the range of f. (Note that domain and range are sets.) 4.1.3 Object and image If and ‚ then x and y are known respectively as the objects and images of f. We can write ‚ ‚ . We can represent
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Essay On Supply and Demand Model (Standard and Aggregate) Essay On Supply and Demand Model (Standard and Aggregate) Course Title Macroeconomics (BUS209) Submitted To Dr. Shuddhasattwa Rafiq Course Instructor Submitted By [pic] Institute of Business Administration Jahangirnagar University Institute of Business Administration Jahangirnagar University Savar‚ Dhaka-1342 Subject: Submission of the Essay
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Homework Questions 1) El Niño wind patterns affected the weather across the United States during the winter of 1997–1998. Suppose the demand for home heating oil in Connecticut is given by Q = 20 – 2Phho + 0.5Png – TEMP‚ where Q is the quantity of home heating oil demanded‚ Phho is the price of home heating oil per unit‚ Png is the price of natural gas per unit‚ and TEMP is the absolute difference between the average winter temperature over the past 10 years and the current average winter temperature
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Aggregate Demand and Supply Model Economic Advisement With a nominal GDP estimated at more than 15 trillion it is clearly the United States economy is one of the largest in the world. A person must have lived in a cave underground for the past several years to not know that the current state of the nation’s economy is in desperate need of improvement. Many academic institutions have thought about how the economy arrived at its current state and how can it be restored. Some would advocate not using
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Applications of Graph Theory in Real Life Sharathkumar.A‚ Final year‚ Dept of CSE‚ Anna University‚ Villupuram Email: kingsharath92@gmail.com Ph. No: 9789045956 Abstract Graph theory is becoming increasingly significant as it is applied to other areas of mathematics‚ science and technology. It is being actively used in fields as varied as biochemistry (genomics)‚ electrical engineering (communication networks and coding theory)‚ computer science (algorithms and computation) and operations
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that market solutions are more efficient than government agencies in providing services even when it comes to "merit goods". In the discussion of housing problem‚ I would disagree with the economist’s view. Housing is a very complicate issue that I believe it will work the best by the cooperation of market and government agencies. The Canadian government has worked for many years on the housing issue‚ but does not seem to have any adequate solutions to solve the problem. The housing market‚ unlike
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Graphs 1‚ 2‚ 3‚ and 4 show the waveforms for the flute‚ violin‚ piano‚ and oboe. The Fourier Series can be used to explain why each of the instruments have their own unique sound. The flute‚ violin‚ piano and oboe have different combinations of frequencies as each waveform is made of an unique combination of sine and cosine waves‚ and this creates distinct waveforms and allows each instrument to have a unique sound. Recall that the formula of the Fourier Series is f(x)=a_0+∑_(k=1)^∞▒(a_k cos〖πkx/T〗+b_k
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line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain. The slope of the line represents the speed of the person in feet per hour. This graph is useful because it provides a visual representation of the continuous motion of the person walking‚ something that could not provided by something like a bar graph. In a bar graph‚ the sheer number
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Misleading Graphs Team C Introduction to Statistics—QNT/273 February 7‚ 2011 Jeffrey McDonough Misleading Graphs “Graphs give a visual representation that enables readers to analyze and interpret data more easily than they could simply by looking at numbers. However‚ inappropriately drawn graphs can misrepresent the data and lead the reader to false conclusions” (Bluman‚ 2009‚ p.76). Some methods used by graph makers to mislead consumers are truncated axis starting points and using two
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Trenerry §5 Graph Theory Loosely speaking‚ a graph is a set of dots and dot-connecting lines. The dots are called vertices and the lines are called edges. Formally‚ a (finite) graph G consists of A finite set V whose elements are called the vertices of G; A finite set E whose elements are called the edges of G; A function that assigns to each edge e ∈ E an unordered pair of vertices called the endpoints of e. This function is called the edge-endpoint function. Note that these graphs are not related
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