Question

Which is a rational function??

Answer 1

Answer:

A. $y=\frac{x-5}{2}$

B. $y=\frac{2}{x}$

and

D. $y=x^2-x+4$

Step-by-step explanation:

A rational function is of the form $R(x)=\frac{P(x)}{Q(x)} ,Q(x)\ne0$ where

$P(x)$ and $Q(x)$ are polynomial functions.

Based on this definition, every polynomial function is a rational function.

Hence the rational functions in the options provided are;

A. $y=\frac{x-5}{2}$

B. $y=\frac{2}{x}$

and

D. $y=x^2-x+4$

$y=\frac{x-3^x}{x^2}$ is not a rational function because the numerator is not a polynomial function.