Question

The function f(n) describes the maximum height of a ball dropped from a certain height after the nth bounce. What is the domain of the function? A. All integers, B. All real numbers, C. All non-negative numbers, D. All non-negative rational numbers

Answer 1

The domain of the function f(n), which represents the maximum height of a ball after the nth bounce, is all non-negative integers. This is because bounces are discrete events counted as whole numbers, excluding decimals or negative numbers.

Step-by-step explanation:

The function f(n) represents the maximum height of a ball after the nth bounce, taking into account the initial height from which the ball was dropped. The domain of this function refers to a set of all possible inputs, or in this context, all intances when the ball bounces.

Each bounce is a distinct event, meaning it can be counted as a whole number; hence no fraction or decimal bounce is conceivable. Therefore, it is not possible to have a negative number of bounces, meaning negative numbers are excluded. So the domain of the function is all non-negative integers.

Therefore, the answer is A. All integers.

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