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

1 Answer
Oct 9, 2016

There are two ways to do this...


One way is to use synthetic division to write the function in the form of #ax^2+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-2#). So 4 is even and because we know how a parabola (#x^2#) 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