Q. 21 - 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.

$g\left(x\right)=x^{\frac{3}{2}}-x^2+2$

Step-by-Step Solution

Answer

g is not a polynomial function because $g\left(x\right)=x^{\frac{3}{2}}-x^2+2$, so the variable $x$ is raised to the $\frac{3}{2}$ power which is not a non negative integer.

Step 1: Given information

$g\left(x\right)=x^{\frac{3}{2}}-x^2+2$

Step 2: Calculation

g is not a polynomial function because $g\left(x\right)=x^{\frac{3}{2}}-x^2+2$, so the variable $x$ is raised to the $\frac{3}{2}$ power which is not a non negative integer.