Question

A ball is dropped and bounces to a height of 4 feet. The ball rebounds to 35% of its previous height after each bounce. This situation can be described by the function
f
(
n
)
=
4
(
0
.
35
)
n
, where n represents the number of bounces. To model this situation, what is a reasonable domain for the function?

Answer 1

Reasonable domain: n is a nonnegative integer, n ∈ {0, 1, 2, 3, …}.

Reason: n counts whole bounces (can’t be negative or fractional). (If you prefer to count only after the first bounce, use n ∈ {1,2,3,…}.)