MHF4U - Desmos Animated Design - Cultural Heritage 20 marks In this assignment, you will use your knowledge of advanced functions and the graphing calculator desmos.com to create an animated design that is inspired by your cultural heritage. You will also analyze some of the functions used and complete a summary table. Due date: August 23 by 11:59 pm Ultimate Due date: August 24 by The animated design must meet the following criteria: Q It is unique and your own work O It must have a minimum of 10 functions O It includes at least one of each of the functions below: A. Polynomial function (degree 3 or higher) B. Exponential function C. Logarithmic function D. Trigonometric function E. Rational function F. A sum or difference function with at least one local maximum or minimum. The two functions added must be from two different categories A, B, C, D, E (eg. a trig & a rational) G. A product function with at least one x intercept. The two functions multiplied must be from two different categories A, B, C, D, E (eg. a trig & a rational) H. A quotient function. The two functions that are divided must be from two different categories A, B, C, D, E (eg. a trig & a rational) I. A composite function. The inner and outer function must be from two different categories from the categories above A, B, C, D, E (eg. trig & a rational) J. No other functions allowed. This means no linear, quadratic, absolute value functions allowed or functions that were not covered in this course. You must not use functions that simplify linear or quadratic functions. Your task is: 3 Watch the videos posted for support with your design and using desmos. com (30 minutes) Q Desmos Designs Playlist - YouTube Q Use the desmos activity link posted in the announcement to create your animated design. Q All functions used in your design must be organized into folders in Desmos by function type Q Complete the Summary Table on the next page Q Add a copy of all the functions used in your summary table in the desmos folder "Summary Table". Q Submit a pdf copy of the completed summary table in the culminating task folder in BrightspaceImportant Note: This is an evaluation that must be completed on your own with no help from tutors, friends or the internet. To earn full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement, Use correct notation. No marks are given if your solution includes: e or In, differentiation, integration. This is an evaluation, make sure you are completing the work on your own. Summary Table Use functions from your desmos design to complete the summary table below. 1. A sum or difference of two State the Local Max and Local Min. Justify your answer with reference to the functions with at least one graph of this function and the sign of IRC. Provide a sketch of your function. max or min Function from your design Disregard desmos restrictions. Set sliders to 0 or 1 if needed 2. A product of two functions Determine the x intercepts and y intercept. Justify your answer with with at least one x intercept calculations and show algebraic steps to determine the x intercepts and the y intercept. Function from your design Disregard desmos restrictions. Set sliders to 0 or 1 if needed Very Important Note: f (x) = sin x * log x - 4 cannot be used in this summary table as it is not a product. f(x) = sin x * log x can be used in the summary table3. A quotient of two State the Domain, Range and vertical or horizontal Asymptotes. Justify your functions answer with reference to your equation and graph. Provide a sketch of your function. Function from your design Disregard desmos restrictions. Set sliders to 0 or 1 if needed Very Important Note: f(x) = 109: + 5 cannot be used in this sinx summary table as it is not a quotient. f (x) = can be used in the summary table 4. A composite function Determine the Instantaneous Rate of Change at x=A Choose a value for A in the domain of your function and show full calculations. Is the function increasing at that point? How do you know?. Function from your design No marks are given if your solution includes: e or In, differentiation, integration. Disregard desmos restrictions. Set sliders to 0 or 1 if needed