Question

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

Answer 1

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+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