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.

$g\left(x\right)=\frac{1-x^2}{2}$

Short answer

$g$ is a polynomial function of degree$2$

Step-by-step solution

Given information

$g\left(x\right)=\frac{1-x^2}{2}$

Calculation

$$\begin{gathered} g\left(x\right)=\frac{1-x^2}{2} \\ =\frac{1}{2}-\frac{x^2}{2} \end{gathered}$$

$g$ is a polynomial function of degree$2$