Question

The function ​f(x)​ is the wait time for an amusement park ride where x is the number of people in line. What is the practical domain for the function f(x)?

all integers
all whole numbers
all real numbers
all positive integers

Answer 1

The domain would be the set of all whole numbers.

Explanation:

Integers are { ......-3, -2, -1, 0, 1, 2, 3....}

Whole numbers are {0, 1, 2, 3, ...... }

Real numbers are all numbers except imaginary number,

Positive integers are {1, 2, 3, 4, ....}

Given,

In the function f(x),

x represents the number of people in line,

We know that number of people can not be negative and it can be 0,

Thus, the possible value of x are 0, 1, 2, 3,......

Also, the domain of a function is the set of all possible value of input,

Since, x represent the input for the function f(x),

Thus, the domain of f(x) would be the set of all whole number.

Second option is correct.