Question

Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.

-3x^5 + 9x^4 + 5x^3 + 3

Answer 1

The leading term is -3x^5. The end behavior of any function is the behavior that the highest powered term has as x approaches ±oo.

In this case because the highest order term is -3x^5, as x approaches -oo, y approaches +oo. And as x approaches +oo, y approaches -oo.