Chapter 9.3, Problem 5QR

To determine

To find an end behavior model.

Answer to Problem 5QR

An end behaviour model for $f$ is $-3x^4$ .

Explanation of Solution

Given information:

The given function is $f\left(x\right)=-3x^4+5x^3-x+1$

Calculation:

Notice that $-3x^4$ is an end behavior model for the numerator of $f$ , and 1 is the denominator. This makes

  $\frac{-3x^4}{1}$

An end behaviour model for $f$ .

Therefore,

An end behaviour model for $f$ is $-3x^4$ .