Question

What is the end behavior of the graph of the polynomial function f(x) = 2x3 _ 26x _ 24?

Answer 1

Polynomial end behavior determines the value of the polynomial function as the value of x variable decreases in both the positive and negative direction.

For an expression with odd degree and a positive coefficient, its behavior is the same as x^3.

Thus for 2x^3 – 26x – 24;

x -> - increasing   y -> - increasing

And as x -> + increasing  y -> + increasing