Assess students' understanding of how a polynomial's degree and leading coefficient determine end behavior and the maximum number of turning points. Tasks include classifying end behavior by parity and sign of the leading coefficient, predicting the greatest possible number of turning points (degree − 1), analyzing or sketching graphs from given polynomials, and comparing pairs of polynomials to explain differences in their long-run behavior and local extrema. Appropriate for grades 9–12 (medium difficulty).