Please use the following points to answer #1-3 below: (-7, 0), (-2,0), (6,0)

1) Using the above three points as zeros, write in standard form the polynomial function, f(x) that will be the path of your rollercoaster. Show all work.

2) Include a graph of your function. This graph may be a hand-drawn sketch or it may be created using graphing technology, such as Geogebra.org

3) Using Descartes’ Rule of Signs, prove to the construction foreman that your function from #1 matches your graph from #2. Use complete sentences.

Question

Please use the following points to answer #1-3 below: (-7, 0), (-2,0), (6,0)

1)	Using the above three points as zeros, write in standard form the polynomial function, f(x) that will be the path of your rollercoaster. Show all work.

 
2)	Include a graph of your function. This graph may be a hand-drawn sketch or it may be created using graphing technology, such as Geogebra.org

 
3)	Using Descartes’ Rule of Signs, prove to the construction foreman that your function from #1 matches your graph from #2. Use complete sentences.