The end behavior of a polynomial function [math]f\left(x\right)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\ldots+a_1x+a_0[/math] is the behavior of the graph of [math]f(x)[/math] as [math]x[/math] approaches plus or minus infinity.[br][br]1. Change [math]n[/math] and observe the general shape of the polynomials. [br]2. Change the values of some coefficients and see what is the role of these coefficients.[br]3. What term determines the behavior of the function in plus and minus infinity?