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

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )