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 IROC. 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 table 3. A quotient of two functions State the Domain, Range and vertical or horizontal Asymptotes. Justify your 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) = - logx sinx + 5 cannot be used in this summary table as it is not a quotient. f (x) =- logx sinx 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 neededMHF4U - 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: Wed., July 26 by NOON (12:00pm) The animated design must meet the following criteria: Q It is unique and your own work Q It must have a minimum of 10 functions 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.Important Notes: 1. Organize Functions into Folders 3. Restrictions: a- All functions used in your design To show part of the graph of a function should be organized into the you must restrict its domain and not its corresponding folders in Desmos by range. function type For example: y = 4x + 5{0=3) 100 + Rational Functions X 50 Exponential Functions X Logarithmic Functions X 0 50 100 150 Trigonometric Functions X Sum or Difference Functions X -50 Product Functions X X -100 Quotient Functions omposite Functions X -150Frequently Asked Questions: 1. Do we have to use sliders? Yes, you have to. That is what is used for animation. You need to animate only one or two functions...i.e. to use only one or two sliders. 2. Are we allowed to use functions not learned in MHF4UE? No.Please note that if you want to include a circle, you have to write it as a function. For example:y=sqrt(9-x^2) and y=-sqrt(9-x^2) 3. Can you post examples of student designs? Show an exemplar during the zoom session 4. How complex and detailed should the design be? It is completely up to you. As long as you include the required functions in the design, then the design is good enough. We are really focusing on you organizing the functions into the corresponding folders and especially in completing the summary table. ! It is a good idea to focus on creating a design that includes the required functions and then move on to complete the summary table. Once you are finished with the summary table, you can go back and add more details to their design if they choose to. 5. Do I have to shade portions of their design? To shade part of the design, you have to use inequalities which connect directly to the curriculum expectations so shade at least one part of their design. For example: f(x) = sinx could represent a wave in their design. y