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# 08.07 Polynomial Functions Assessment.

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## Daione Burnett White

on 28 November 2016

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#### Transcript of 08.07 Polynomial Functions Assessment.

08.07 Polynomial Functions Assessment.
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
F(x)=3x^2+9x+12 The ends are both up since its positive. The y int. is 12
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 Ray and Kelsey'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. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.
Yes, both could be correct. Ray is correct because you can have 4 intercepts, three of them are zeros and one as the y intercept.
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x^3 − x^2 − 4x + 4. To find the zeros just set function equal to 0, and then factor. The zeros of this function are -2,2, and 1. Other key features of polynomial functions include end behavior, y intercept, and the axis of symmetry, and the vertex.
The safety inspector notes that Ray 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 Ray can include it in his coaster plan.
You have to substitute the value of the axis of symmetry into the function for x. positive will be minimum, negative will be maximum.
Create a graph of the polynomial function you created in Question 4.

Create a graph of the polynomial function you selected from Question 2.
Create an ad campaign to promote Ray and Kelsey'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 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.
It's large, it's fast, it's the worlds most terrifying roller coaster in the world! Ray and Kelsey's mega ride is known for its unbelievable drops, turns, and twists. In my mind I would call it death but its name is the Ocappoka. The Ocappoka takes you high into the sky where you can touch the clouds and down 230 miles per hour. You hit the bottom which leads you right into a 360 turn with a twist at the top. Your body doesn't know whats coming and you will feel the rush. Are you up for the challenge?
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