An object was dropped off the top of a building. The function
f
(
x
)
=
−
16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .