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12 September, 10:42

A ball is dropped from the top of a building that is 1,000 feet high. Its height, in feet, as a function of the time, x, in seconds, after the ball was dropped, is given by the following equation, ƒ (x) = 1,000 - 16x 2. Which set of numbers is appropriate as the domain for this function?

Natural Numbers

Positive Real Numbers

Positive Integers

Positive Rational Numbers

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Answers (1)
  1. 12 September, 11:12
    0
    Positive real numbers

    Step-by-step explanation:

    The domain is all the possible values of x. Here, x represents the time that the ball falls.

    Natural numbers are integers greater than 0 (1, 2, 3, etc.). However, the time doesn't have to be an integer (for example, x=1.5).

    Positive integers are the same as natural numbers.

    Positive rational numbers are numbers greater than 0 that can be written as a ratio of integers (1/1, 3/2, 2/1, etc.). However, the time can also be irrational (for example, x=√2).

    Positive real numbers are numbers greater than 0 and not imaginary (don't contain √-1). This is the correct domain of the function.
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