Part C Complete with Your Partner After sketching portions o

Part C (Complete with Your Partner) After sketching portions of the roller coaster (see below), you and your partner need to collaborate and choose the four functions you have sketched that can best be assembled to create the coaster. Choose at least 1 third-degree polynomial function and 1 parabola based on the work you and your partner completed for Parts A and B, and you may include all four polynomial functions if you wish. 7.Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, work with your partner to sketch a design of your coaster that includes the shape of the g(x) and f(x) functions. You do not have to include the coordinate plane. Arrange the functions in any order you choose, but make sure to label each section of the graph with the corresponding function for your instructor to view. 8.Create an ad campaign to promote the new 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 each of 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.

Solution

Let two partner\'s name be Sandy and Maddy they are involved in the planning of a brand new roller coaster. For this assignment, you help Sandy and Maddy tackle the math behind some simple curves in the coaster\'s track.

(i) The first part of Sandy and Maddy\'s roller coaster is a curved pattern that can be represented by a polynomial function.
Sandy and Maddy are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Sandy says the third-degree polynomial has 4 intercepts. Maddy argues the function can have as many as 3 zeros only.
According to maddy list of possible functions will be:-
        g(x) = x³ x² 4x + 4
        g(x) = x³ + 2x² 9x 18
        g(x) = x³ 3x² 4x + 12
        g(x) = x³ + 2x² 25x 50
        g(x) = 2x³ + 14x² 2x 14

(ii) The second part of the new coaster is a parabola.
Sandy needs help creating the second part of the coaster. Create a unique parabola in the pattern

f(x) = ax² + bx + c. After Describing the direction of the parabola determine the y-intercept and zeros.

(iii) 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 Sandy and Maady\'s coaster that includes the shape of the g(x) and f(x) functions that you chose in the (i) and (ii). You do not have to include the coordinate plane. You may arrange the functions in any order you choose.

(iv) Create an ad campaign to promote Sandy and Maddy\'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. Whatever is good.