Algebra 87 - Graphing Polynomial Functions - Part 2

The video tutorial explores polynomial functions, focusing on their characteristics, such as continuity and smoothness. It explains how to find zeros and X intercepts, emphasizing the role of factors and multiplicity in determining graph behavior. The tutorial guides viewers through sketching polynomial graphs, considering end behavior and turning points, and addresses special cases where standard techniques may not suffice.

What is the significance of the X intercepts in sketching the graph of a polynomial function?

What is the behavior of a polynomial function with an even leading term coefficient?

How can you find the vertical axis intercept of a polynomial function?

Explain the relationship between turning points and the degree of a polynomial function.