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}

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are