Understanding end behavior is one of the most important skills when graphing polynomial functions.
In this video, you’ll learn how to determine what happens to a polynomial as x approaches positive infinity and negative infinity. We’ll focus on how the degree of the polynomial and the sign of the leading coefficient work together to determine the direction of the graph’s ends.
Topics covered:
• End behavior notation
• Positive vs. negative leading coefficients
• Even-degree vs. odd-degree polynomials
• Determining graph direction without graphing the entire function
Whether you’re studying Algebra 2, Precalculus, or preparing for a standardized test, understanding end behavior will help you analyze and sketch polynomial graphs with confidence.
