Chapter 5 Polynomials and Polynomial Functions - 5.2 Evaluate and Graph Polynomial Functions - 5.2 Exercises - Skill Practice - Page 342: 29

Negative infinity

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