Q. 19 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell

why not.

$f\left(x\right)=1-\frac{1}{x}$

Step-by-Step Solution

Answer

$f$ is not  a polynomial function

Step 1: Given information

$f\left(x\right)=1-\frac{1}{x}$

Step 2: Calculation

$$\begin{gathered} f\left(x\right)=1-\frac{1}{x} \\ =x^0-x^{-1} \end{gathered}$$

Since $-1$ is not a whole number.

$f$ is not a polynomial function