Answer:
Answer:
As x→∞ , f(x)→-∞
As
x→-∞ , f(x)→∞
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)→−∞