Chapter 9.3, Problem 6QR

To determine

To find an end behavior model.

Answer to Problem 6QR

An end behaviour model for $f$ is $2x^2$

Explanation of Solution

Given information:

The given function is $f\left(x\right)=\frac{2x^3-3x+1}{x+2}$

Calculation:

Notice that $2x^3$ is an end behavior model for the numerator of $f$ , and $x$ is one of its denominator. This makes

  $\frac{2x^3}{x}=2x^2$

An end behaviormodel for $f$

Therefore,

An end behaviour model for $f$ is $2x^2$