Describe how to determine the end behavior of polynomials using the leading coefficient (L. C.) and the degree of the polynomial (odd or even). Use examples.

even degree, L. C. positive - (-∞, ∞) and (∞, ∞) even degree, L. C. negative - (-∞, - ∞) and (∞, - ∞) odd degree, L. C. positive - (-∞, - ∞) and (∞, ∞) odd degree, L. C. negative - (-∞, ∞) and (∞, - ∞)

Step-by-step explanation:

The sign of the leading coefficient tells the sign of the infinity as the independent variable gets large.

The degree tells whether the left and right end behaviors are the same or opposites. They are the same if the degree is even.

There are four possibilities:

even degree, L. C. positive - (-∞, ∞) and (∞, ∞) even degree, L. C. negative - (-∞, - ∞) and (∞, - ∞) odd degree, L. C. positive - (-∞, - ∞) and (∞, ∞) odd degree, L. C. negative - (-∞, ∞) and (∞, - ∞)