Let the domain be the length of the cords of a circle with a diameter of 15 and the range be the distance the the cord is from the center. Give a list of numerical interval for sets being mapped, then state if it is a function or not. If not give an example to show it is not a function.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)