Question

A food 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

Answer 1

The given function f(x)=-15x²+6000 represent a parabola or a quadratic equation.

Where x= time (in seconds) and f(x)= height (in feet).

Domain is the set of values of x at which the function must be defined. But there is no restriction for a quadratic function because it can take any value of x. Hence, domain of all quadratic functions or parabola are always

-∞≤x≤∞ or all real numbers.

So, domain of given function is " all real values of x".

Answer 2

The answer is 0 ≤ x ≤ 20

hope this helps :)