Question

The function f(x) = 16.4x + 2 is used by a construction company to estimate the amount of fuel necessary for a truck to get to a job site depending on the miles from the office, x. The mathematical domain for the function is the set of real numbers.

How does the reasonable domain differ from the mathematical domain?

The reasonable domain is the set of positive real numbers.
The reasonable domain is the set of positive whole numbers.
The reasonable domain is the set of real numbers greater than 2.
The reasonable domain is the set of whole numbers greater than 2.

Answer 1

The reasonable domain for the function is the set of real numbers greater than 2, while the mathematical domain is the set of all real numbers.

Step-by-step explanation:

The reasonable domain for the given function is the set of real numbers greater than 2.

However, the mathematical domain for the function is the set of all real numbers. This means that the function can be used to estimate the amount of fuel necessary for any distance from the office, including negative distances or distances less than 2.