There are 64 teams at a volleyball tournament. half of the teams are eliminated after each round. the function that models the number of teams left after x rounds is f(x) = 64(.5)x. determine an appropriate domain for this model.

{x ∈ ℤ | 0 ≤ x ≤ 6}

Step-by-step explanation:

Both x and f(x) must be integers. For values of x greater than 6, fractional teams remain in the tournament, so we require x ≤ 6. It makes no sense to talk about negative numbers of tournament rounds, so the domain should probably be x ≥ 0. Hence, ...

... {x ∈ ℤ | 0 ≤ x ≤ 6}