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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Investigating the Effect of Lipase Concentration on the Breakdown of Fat in Milk INTRODUCTION: Enzymes are proteins which can catalyse chemical reactions without changing themselves. The enzyme lipase breaks down the fat in dairy products such as full-cream milk for people who are lactose intolerant. Lipase acts on its specific substrate‚ lipids produces fatty acids. If enzyme concentration increases‚ random collisions between the substrates and active sites of enzyme increase due to the increasing
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molecule.(3) The molecules that enzymes help to accelerate is called substrates‚ and when enzyme is combined together with the substrate‚ it is called enzymes- substrate complex‚ and after the enzyme finish catalyzing‚ the substrates before is turned into what we called product. Enzymes‚ just like other catalyst‚ will not be used up as a part reactant through the reaction. So enzymes can be used over and over again. The substrates fit into the enzyme like a key fits into a lock (3). Enzymes have other
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Abstract This lab was performed in order to discover the activity of the enzyme catecholase in different pH levels as well as its absorbance in differently concentrated solutions. A spetrophotometer was used to measure the absorbance of the enzyme catecholase in different pH solutions as well as to measure the absorbance of catecholase in solutions with different concentrations of potato juice and phosphate buffers. Absorbance of the enzyme catecholase was at an optimum level when pH was close
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Temperature Affecting Enzyme Activity Introduction The basic properties of life revolve around chemical reactions. Without the presence of enzymes some of life’s processes would not come so easily. Enzymes are basically proteins‚ which have specific shapes for different substrates. Enzymes change the rate in chemical reactions. It does this without having to change its own shape‚ which makes enzymes different from other proteins. A common enzyme that we have is catalase‚ which breaks down
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Investigating the Effect of Temperature on Enzyme Activity Almost all chemical reactions that occur in living organisms are catalyzed by enzymes. Many factors in a cell’s environment affect the action of an enzyme. In this investigation‚ you will design an experiment to determine the effect of temperature on an enzyme-catalyzed reaction. You will complete an entire lab write-up using the CHS LAB REPORT FORMAT. Fundamental Question How does temperature affect the rate of an enzyme-catalyzed
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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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Effects of Molasses Concentration on Yeast Fermentation The purpose of this lab was to determine how yeast cells are affected by the concentration of a food source‚ and for our purposes‚ the food sources were corn syrup and molasses. Our hypothesis was that the yeast cells would ferment the most when there was a higher concentration of molasses/corn syrup. In order to test this‚ we created 10 test tubes with decreasing concentrations of molasses/corn syrup using a serial dilution. Each test
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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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