Final answer:
The statement about rational functions is true, as they are defined as the quotient of two polynomials with the condition that the denominator polynomial is non-zero. Rational functions and other mathematical tools are essential to describing relationships in economics and many other fields.
Step-by-step explanation:
The statement that a rational function is a function that can be written in the form: f(x) = n(x)/d(x), where n(x) and d(x) are polynomials and d(x) is not the zero polynomial is true. A rational function indeed describes a relationship between two polynomials, where the numerator n(x) and the denominator d(x) both represent polynomials. It is essential that the denominator d(x) is not the zero polynomial because division by zero is undefined in mathematics.
In the context of economic models, functions can define relationships between different economic variables or quantities. For instance, a very simple function might state the relationship between the price of an item and its demand in the market. This is foundational in economic analysis, and mathematical functions are tools that help to describe and predict economic behavior.