Chapter 4.4, Problem 69AYU

To determine

To graph:

The solution of following function with the inequality $f\left(x\right)\le g\left(x\right)$ :

  $\begin{array}{l}f\left(x\right)=x^4-4\\ g\left(x\right)=3x^2\end{array}$

Explanation of Solution

Given:

  $\begin{array}{l}f\left(x\right)=x^4-4\\ g\left(x\right)=3x^2\\ f\left(x\right)\le g\left(x\right)\end{array}$

Graph:

  

Interpretation:

The two functions are given as:

  $\begin{array}{l}f\left(x\right)=x^4-4\\ g\left(x\right)=3x^2\end{array}$

So, by graphing calculator and inequality equation $f\left(x\right)\le g\left(x\right)$ the solution or the intersection of $f\left(x\right)=x^4-4$ and $g\left(x\right)=3x^2$ is $x\le 2$