Algebra 84 - Monomial Building Blocks of Polynomial Functions

Professor von Schmohock introduces polynomials, explaining their types and how they define functions. The lecture covers monomials, their structure, and their role in forming polynomials. It explores the graphs of even and odd power functions, highlighting their symmetry and rate of increase. The effect of coefficients on graph shapes is also discussed, showing how they stretch or reflect graphs vertically. The lecture concludes with a preview of how monomial functions combine to form complex polynomial graphs.

What are the implications of a polynomial function being continuous?

What happens to the graph of a polynomial function as the exponent of its monomial increases?

Discuss the behavior of polynomial functions as their coefficients change.

How do the graphs of monomial functions illustrate the relationship between the exponent and the coefficient?