The first 12 seconds of a rollercoaster ride can be modeled by a polynomial function where t is the number of seconds and h(t) is equal to the height of the roller coaster in feet. Some roller coasters go underground as well
as above ground. In factored form, the rollercoaster can be modeled by the function
2
h(t)=2/5 (t - 1) (t-1) (t - 9) (t - 11)
What key feature(s) can be easily identified from the factored form? Explain how each key feature is related to
the rollercoaster. Use specific values in your explanation.