How do you sketch the general shape of f(x)=x^4-2x^2+x-2f(x)=x42x2+x2 using end behavior?

1 Answer
Oct 9, 2016

There are two ways to do this...

Explanation:

One way is to use synthetic division to write the function in the form of ax^2+bx+cax2+bx+c.
The second way is to just look at the function and identify the degree of your equation.
So here, we have an equation to the 4th degree (x^4-2x^2+x-2x42x2+x2). So 4 is even and because we know how a parabola (x^2x2) has two arrows going upward, this graph is also going to do the same thing. graph{x^4-2x^2+x-2 [-10, 10, -5, 5]}

Good luck