Question

What is the domain of the function f(x) = 165x, where x represents the number of days a vacation home in Long Beach, California is rented for?

a) X≥0
b) {0, 1, 2, 3, ...}
c) {0, 165, 330, 495, ...}
d) All real numbers

Answer 1

The domain of the function f(x) = 165x, representing the number of days a vacation home is rented for, is a) x ≥ 0.

Step-by-step explanation:

The domain of a function represents the set of all possible inputs (x values) for which the function is defined. In this case, the function f(x) = 165x represents the number of days a vacation home is rented for, so the domain should be restricted to non-negative values, as you can't have a negative number of rental days.

Therefore, the correct domain for this function is option a) x ≥ 0. This means that the function is defined for all non-negative real numbers.