Consider the function.

$f(x)=2x^6-16x^4+20x^2-2$

Identify the interval$($s$)$ containing a root of the function.

There is a root on the interval $0,1$ since $f(0)<mn>0</mn>$ and $f(1)>0.$

There is a root on the interval $3,4$ since $f(3)>0$ and

There is a root on the interval $-4,-3$ since $f(-4)>0$ and

There is a root on the interval $4,5$ since $f(4)<mn>0</mn>$ and $f(5)>0.$

There is a root on the interval $-3,-2$ since $f(-3)>0$ and