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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it’s lowest to do so. However‚ in cold solutions the starch will take longer as it will in temperatures beyond 40 degrees. Once it reaches this point‚ the break down will either take a very long period of time or have no reaction at all as enzymes are denatured at a certain point. Materials: · 4 x test tubes · 5mL Diastase · 5mL Water · 10mL 2% Starch Suspension. · Pipette · 2 x Spotting tiles · Large Beaker filled with water of assigned temperature · Thermometer
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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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Enzyme Lab Write-Up Purpose: To observe how an enzyme affect the speed of chemical reaction. To describe how the concentration of an enzyme affects its ability to work. Hypothesis: Depending on the concentration of the catalase which the disk is soaked in‚ it will have a direct correlation on the rate of hydrogen peroxide being broken down into oxygen gas. Prediction: Since the rate of reaction can be lowered by the addition of catalysis such as an enzyme. Moreover to
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Gather all of your equipment‚ a LabQuest 2‚ two friction blocks (one with sandpaper and one with foam)‚ a force sensor‚ slotted masses‚ a ruler‚ and two sheets of graph paper. Weigh the two friction blocks in kilograms. Then multiply that number by g‚ 9.8‚ to find the blocks’ weights in Newtons and record it. Plug the force sensor into channel 1 of your LabQuest 2‚ this allows you to calculate the amount of force that you pull the block with. Choose six of the slotted masses to place on the blocks
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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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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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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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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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amylase and starch. Introduction The enzyme amylase is found in the human body‚ it catalyses the hydrolosis of internal glycosidic bonds in polysaccharides‚ the breakdown of starch into sugars. Amylase is present in human saliva‚ where it initiates the chemical process of digestion. Enzymes work best at an optimum pH of 7 which is the bodies normal pH. The pH affects the charge of the amino acid at the active site. PH changes affect the structure of an enzyme molecule and therefore affect its ability
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