Chapter 4.1, Problem 12AYU

To determine

To Fill: The graph of the function $f(x)=3x^4-x^3+5x^2-2x-7$ will behave like the graph of ……for larger values of $\left|x\right|$ .

Answer to Problem 12AYU

  $y=3x^4$

Explanation of Solution

Given: The graph of the function $f(x)=3x^4-x^3+5x^2-2x-7$ will behave like the graph of ……for larger values of $\left|x\right|$

For large $\left|x\right|$ the graph of the function behave like the graph of $y=a_n{x}^n$

Thus

The graph of the function $f(x)=3x^4-x^3+5x^2-2x-7$ will behave like the graph of $y=3x^4$ for larger values of $\left|x\right|$