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 a function in
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CHAPTER II DATA PRESENTATION‚ ANALYSIS AND INTERPRETATION Table 1 This chapter presents the findings‚ the analysis ‚and the interpretation of data. Data and findings are presented in their analysis and interpretation. Gender profile of the respondents |Gender |Frequency |Percentage% | |Male |57
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Graphs and Function What is the relation between the graphs and function and how was it applied in the real world? Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first‚ Heathrow in London is sixth)‚ about the advertising-dollar receivers in the United States (newspaper are first‚ radio is fourth) and about NCAA men’s golf team title winner (Yael is first‚ Houston is second). The
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NAME_________________________________ STAMP________________ PERIOD____ PICTURES & GRAPHS A. The Atom 1. Calculate the average atomic mass using the spectrum below. 2. Answer the questions regarding the energy level diagram shown. a) The emission lines for the series above are in the IR‚ Vis and UV regions. Match the series with the region and justify your choice (FYI – AP you do not need to memorize the names of the series. IB will need to know then for next year). b) Would the wavelength
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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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LINEWEAVER-BURK PLOT A graph of the double reciprocal equation is also called a Lineweaver-Burk‚ 1/Vo vs 1/[S]. The y intercept is 1/VMAX; the x-intercept is 1/ KM; and the slope is KM/VMAX. Lineweaver Burk graphs are particularly useful for analyzing how enzyme kinematics change in the presence of inhibitors‚ competitive‚ noncompetitive‚ or a mixture of the two. There are three reversible inhibitors: competitive
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V. Adamchik 1 Graph Theory Victor Adamchik Fall of 2005 Plan 1. Basic Vocabulary 2. Regular graph 3. Connectivity 4. Representing Graphs Introduction A.Aho and J.Ulman acknowledge that “Fundamentally‚ computer science is a science of abstraction.” Computer scientists must create abstractions of real-world problems that can be represented and manipulated in a computer. Sometimes the process of abstraction is simple. For example‚ we use a logic to design a computer circuits. Another example - scheduling
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Paige Burton October 16‚ 2017 Comp. 1 4th hour Movie Review Walk The Line The movie Walk The Line is based on the famous singer Johnny Cash’s real life. Johnny Cash grew up in the Great Depression era. He had a rough childhood‚ especially when he lost his older brother at a young age. When Johnny was old enough he moved out of his house‚ away from his family‚ and joined the Air Force‚ he was stationed in Germany. Johnny found his love of music there‚ and bought his first guitar. The first song he
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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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Tree definitions If you already know what a binary tree is‚ but not a general tree‚ then pay close attention‚ because binary trees are not just the special case of general trees with degree two. I use the definition of a tree from the textbook‚ but bear in mind that other definitions are possible. Definition. A tree consists of a (possible empty) set of nodes. If it is not empty‚ it consists of a distinguished node r called the root and zero or more non-empty subtrees T1‚ T2‚ …‚ Tk such that there
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