hips at an engineering firm As part of their work they get to assist in the planning of a brand new roller coaster For this assignment you help Jim and Michelle as they tackle the math behind some simple curves in the coaster s track Part A The first part of Jim and Michelle s roller coaster is a curved pattern that can be represented by a polynomial function 1 Michelle has a list of possible functions Pick one of the g x functions below and then describe to Michelle the key features of g x including the end behavior y intercept and zeros a g x x x 4x 4 Pick ONE b g x x 2x 9x 18 c g x x 3x 4x 12 d g x x3 2x 25x 50 Le g x x 7x x 7 2 Create a graph of the polynomial function you selected X6 from Question 1 Please label all intercepts and critical points art B he second part of the new coaster is a parabola 3 Jim needs help creating the second part of the coaster Create a unique parabola in the pattern f x ax bx c Describe the edirection of the parabola and determine the y intercept and zeroes Make sure this parabola will connect to the equation you selected in e Part A You may arrange the two functions in any order you choose as long as they connect and graph 4 The safety inspector notes that Jim also needs to plan for a vertical ladder through the center of the coaster s parabolic shape for access to the coaster to perform safety repairs Find the vertex and the equation for the axis of symmetry of the parabola showing your work so Jim can include it in his coaster plan PA My Drive Kneeskerm Roller Coaster Project pdf 5 Create a piecewise graph of the polynomial function you created in Question 1 and the quadratic equation from Question 4 You will need to restrict the domain on both your g x function in Part A and your f x function from Part B Please label all intercepts critical points domain restrictions and the range for each piece of the graph Part C 6 Now that the curve pieces are determined use those pieces as sections of a complete coaster By hand or by using a drawing program sketch a design of Jim and Michelle s coaster that includes the shape of the g x and f x functions that you chose in the Parts A and B You do not have to include the coordinate plane in the drawing Be sure to label each section of the graph with the corresponding function for your instructor to view Part D 7 Create an ad campaign to promote Jim and Michelle s roller coaster It can be a 15 second advertisement for television or radio an interview for a magazine or news report or a song poem or slideshow presentation for a company These are just examples you are not limited to how you prepare your advertisement so be creative Make sure to include a script of what you will say if you are preparing an interview or a report The purpose of this ad is to get everyone excited about the roller coaster 8 On a half sheet of poster board build your presentation that would be used to win the award of getting your roller coaster built The poster board should include a The first polynomial equation and graph g x with its key characteristics explained and labeled b The second quadratic equation and graph f x with its key motni I