Roller coaster design

the amusement park needed to be designed has the following requirements.

- The coaster must have 3 relative maxima/ or minima

- the ride must be at least 4 minutes

- the coaster rides starts at 250 feet above ground.

- the ride dives below the ground into a tunnel at least once

draw a rough draft of the "roller coaster" on a coordinate plane .

illustrate x-axis and y-axis scale to identify the height of the ride you are designing.

1. make sure to list all zeros of the polynomial

2. write it In factored from, include a-value that represents the roller coaster. this involves algebra work.

3. rewrite it in standard from

4. perform synthetic division to verify the correctness of the equation

5. describe the practical end e=behavior

6. draw an accurate graph and label axes and key features

7. state the domain and range (that is the actual ride)