Question

can somebody help me with this question

Amelia is planning the trajectory of her next flight using the altitude and distance from Paris, France. She has determined her function to be f(x) = -4x + 102.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

Answer 1

Unfortunately, the question is unclear as stated. Trajectories usually have x- and y-components. Before starting a possible solution, we need to agree on what f(x) represents.

The best interpretation I can think of is a poor one: That the 102 represents altitude and the x represents horizontal distance. Are you certain there's not more info in the problem statement?

Answer 2

yes im sure

Answer 3

Perhaps someone else will have more insight into what f(x) represents than I.

Is this problem from your math class or a physics or general science class?

Have you a classmate with whom you could confer?

Answer 4

This problem is in my math class and unfortunately no i dont have no classmate i can confer to

Answer 5

and do you think you can help me with one another question real quick

Answer 6

To come up with a domain fitting f(x) = -4x + 102, we'd need either to assume that x represents the positive horizontal distance from a starting point and that f(x) the altitude of the plane above the ground. Under such circumstances, x would range from zero (at the horizontal starting point of the plane's descent to 25.5, at which x value f(x) would be zero (if f(x) represents altitude, we'd hope that f(x) is never negative). Under these (very artificial) circumstances, the domain would be [0, 25.5} in some unit of distance and the range would be [0, 102] in some unit of distance. In other words, 102 would represent the max height and 25.5 would represent the x value at which the altitude f(x) becomes zero.

Sorry I can't do more to help you. In your shoes I'd ask my teacher for clarification of the question and also for the assumptions that have to be made before we can find the domain and range of this particular function. Good luck!