Question

An object was dropped off the top of a building. The function f(x)=-16x^2+400represents the height of the object above the ground, in feet, x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answer 1

Domain exists on all real values and it is expressed according to the notation:

(-∞, ∞)

Explanation:

The domain of a function is the values of the input variables x that will make the function exist.

Given the function f(x)=-16x^2+400

Since the variable x is a perfect square, this means that the function f(x) will exists for all values of x. The domain is expressed as:

(-∞, ∞)