Chapter 5 Polynomials and Polynomial Functions - 5.2 Evaluate and Graph Polynomial Functions - 5.2 Exercises - Skill Practice - Page 342: 31

The function will approach positive infinity as x approaches infinity, and the function will approach negative infinity as x approaches negative infinity.

This is an odd function, so we know that the function will have different infinite limits at positive infinity and negative infinity. The leading coefficient of the highest power is positive, so it follows that the function will approach positive infinity as x approaches infinity, and the function will approach negative infinity as x approaches negative infinity.