NS31 CPT Function.pdf X C O File | C:/Users/ma517/Downloads/NS31%20CPT%20Function.pdf E NS31 CPT Function.pdf 1 / 1 | - 100% + 31. y = Vx2 - 1 Type here to search O 17.C Partly sunny (" ()) ENG 1:40 PM 2022-05-24 EIntroduction: Your task is to create a visually appealing, comprehensive and organized sketch of a given function using what we have learned in the Calculus portion of this course. You are to use the algorithm we talked about and used in Chapter 4 and all the knowledge you have acquired in the course to hand sketch your given function Things to keep in mind: Ensure you are finding everything you can about the function (ie. intercepts, increasing/decreasing intervals, positiveegative intervals, restrictions/asymptotes, domain, range, end behaviours, maxima/minima values, critical points, concavity, points of inflection etc) You are allowed to use technology to CHECK your sketch, however, you need to provide a step by step hand drawn sketch as you calculate and find information about your function. Use your imagination in terms of presentation. You can present it with a voice note/video, prezi, etc) Make sure you address each of the overall expectations of the Calculus Strand of the course; Strand #1: RATE OF CHANGE Demonstrate an understanding of the rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of limits; Graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative; Verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related functions. Strand #2: DERIVATIVES AND THEIR APPLICATIONS Make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching; Solve problems, including optimization problems that require the use of concepts and procedures associated with the derivative, including problems arising from real-world applications and the development of mathematical models. Task: You will be given a function to graph. I will contact you privately with your function. You are to graph this function in as much detail as possible, step by step as your find information. After having fully sketched the function, you are to come up with two applications of such functions in a real-life scenario. Use your imagination - the scenario does not have to fit the function/graph exactly, but it should fit the family of your function. Ensure your work is clear, has proper mathematical form and terminology, and it is pleasing to the eye. I should not be searching for your calculations, they should be easy to find in an organized manner. Keep in mind, sketching a functions incorporates everything we have learned in the calculus course, and so this could be used as a review page for your courses next year