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

Question

Makena Sanders

Mathematics

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

+1

Answers (1)

Know the Answer?

Elaine Campos · Answer 1

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.