Chapter 3, Problem 6SGA

To determine

To find: the rational, greatest integer function is a quotient of two polynomial functions.

Answer to Problem 6SGA

The rational function is quotient of two polynomial functions.

Explanation of Solution

Given:

Rational function.

Concept used:

A rational function is a function that can be written as the quotient of two polynomials. Any rational function. $r\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}$ , where $q\left(x\right)\ne 0$ .

The rational functions often have what are called asymptotes.

Calculation:

The definition of the rational function as below:

The rational function. $r\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}$ , where $q\left(x\right)\ne 0$ .

The rational functions often have what are called asymptotes.

Hence, the rational function is quotient of two polynomial functions.