Question

Describe the end behavior of each function.

1. P(x) = 2x^3 + x^2 + 3x + 2

2. P(x) = 5x^4 - 6x^6 + 3x + 2

Answer 1

If by "end behavior" you mean the behavior for very large positive or negative x, then 1. behaves like 2x^3 and 2. behaves like -6x^6. The highest power of x always dominates when x becomes very large in either the positive or negative direction.