Curve Sketching Assignment Curriculum Expectation: 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 TASK: It is your job to Create a Function (Polynomial or Rational) and effectively explain how to perform all the necessary calculations and all required steps to get a complete analysis and sketch the function. Your product should be designed in such a way that, using your function as an example, you can use it to teach how to sketch a function using derivatives. You can demonstrate your understanding by creating any of the following products: 1) Create a tutorial video or TikTok 2) Create an infographic 3) Create your own written textbook section 4) One on one interview 5) Any other method that you think would be effective that you get approved by your teacher The function you create should allow you to demonstrate how to find/graph at least 5 of the following characteristics; X-intercepts and y -intercepts . Vertical Asymptotes and/or Holes . Horizontal or Oblique Asymptotes Local/Absolute Extrema Intervals of Increase and Decrease Intervals of Concavity Inflection Points Due: Friday May 6th Check in by end of Friday April 29th - must tell Teacher what function is and what your product is.Rubric: Approaching Expectations/ Level 3 Level 4 Areas for Improvement -effectively communicates, -effectively teaches, in a in a clear way, the process clear and organized way, involved in a complete the process involved in a graphical analysis for your complete graphical chosen function analysis for both the function chosen as well as for any other scenario -accurately connects first - flawlessly connects first and second derivatives to and second derivatives to characteristics of simple characteristics while chosen function (ex: cubic choosing a complex polynomial, as + b etc) function (ex: Quartic ex + d polynomial, rational with oblique asymptote or with unique feature like max/min etc)