State the degree and end behavior of f(x) = 2x3 – 3x – x2 + 1. explain or show
your reasoning

As x→∞ , f(x)→-∞

As

x→-∞ , f(x)→∞

Step-by-step explanation:

End behavior is determined by the degree of the polynomial and the leading coefficient (LC).

The degree of this polynomial is the greatest exponent, or

3

.

The leading coefficient is the coefficient of the term with the greatest exponent, or

2

.

For polynomials of even degree, the "ends" of the polynomial graph point in the same direction as follows.

Even degree and positive LC:

As x→∞ , f(x)→∞ As x→∞, f(x)→∞

Even degree and negative LC:

As x→−∞ , f(x)→−∞

As

x→∞ , f(x)→−∞

As x→∞ , f(x)→-∞

As

x→-∞ , f(x)→∞

DO NOT REPORT ME

Step-by-step explanation: