Graph polynomials serve as powerful invariants that encode both combinatorial and topological features of graphs drawn on surfaces. Beginning with the classical Tutte polynomial for planar graphs, ...

👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear ...

A new graph-based algorithm extracts exact symbolic stationary probability formulas for finite Markov chains, reproducing and ...

Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division, as well ...

A worksheet on identifying whether a given graph represents a function. Answers are included. Master the vertical line test with this ready-to-print math worksheet. Includes full worked solutions for ...

A worksheet on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.