What is The equation of a rational function does not have to contain a rational expression?

Answer 1

A rational function is defined as a function that can be expressed as the quotient of two polynomials. However, it can also be represented in forms that do not explicitly show a rational expression, such as a polynomial or a constant function, which can be thought of as a rational function with a denominator of 1. For example, the function ( f(x) = 3x^2 + 2 ) is a polynomial and can be considered a rational function because it can be rewritten as ( f(x) = \frac{3x^2 + 2}{1} ). Thus, while the standard form includes a rational expression, the definition encompasses more than just explicit fractions.