End Behavior: (9 points) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) (1 point each) End Behavior: (9 points) 5. Constant Monomial 6. Linear Binomial 7. Quadratic Monomial 8. Quadratic Trinomial 9. Cubic Binomial 10. Cubic Trinomial 11. Cubic Polynomial 12. Quartic Monomial 13. Quartic Trinomial 14. Quartic Polynomial A. \( 4 x^{4}-2 x^{2}+6 \) B. \( -x^{3}+16 x^{2}+2 x+16 \) C. \( 3 x^{2}+12 x+7 \) D. \( -5 x+8 \) E. \( 7 x^{3}-2 \) F. \( 14 x^{2} \) G. \( 5 x^{4}+4 x^{3}-8 x^{2}+5 x \) H. 8 1. \( 8 x^{3}-10 x+7 \) J. \( -x^{4} \)

When we talk about the end behavior of polynomials, we're diving into a fascinating world where we predict how functions behave as they move towards infinity! For even-degree polynomials, the ends will either rise or fall together, while odd-degree polynomials will head in opposite directions. So, as \(x\) approaches infinity or negative infinity, we can confidently say where the graph is headed! For real-world applications, understanding end behavior can help in economics and engineering! For instance, if you're modeling the trajectory of a flying vehicle or analyzing a company's profit over time, grasping how the functions behave at the extremes gives insights into longevity and sustainability—making those graphs not just pretty pictures, but practical tools for decision-making.