Afood packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. the graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: graph of function f of x equals 6000 minus 15 multiplied by x squared use the graph to determine the reasonable domain of f(x) based on the context. x ≤ 6000 0 ≤ x ≤ 20 −20 ≤ x ≤ 20 all real numbers

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

The height of the food packet cannot be a negative value, so

We need to replace for f(x) in the above inequality to find the domain.

The possible solutions of the above inequality are given by the intervals . We need to pick test point from each possible solution interval and check whether that test point make the inequality true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: