The math topic involves analyzing rational functions to determine on which set of open intervals the function maintains a constant sign. The problems focus on rational expressions that include factors raised to various powers either in the numerator or denominator, indicating potential multiplicities at the zeros. Students are required to consider the effect of these zeros and other critical points on the sign of the function across different intervals. This skill is foundational for understanding the behavior of rational functions and their graphs in terms of intervals of positivity and negativity.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.