4-1: Graphing Polynomial Functions

Dustin·

Polynomial Functions

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SubjectPolynomial Functions

This resource focuses on graphing polynomial functions, guiding learners to identify key features such as degrees, leading coefficients, zeros, end behavior, turning points, and extrema. The lesson begins with a definition of polynomial functions and its vocabulary, laying a foundation for understanding the behavior of polynomials through practical examples and visual summaries. It progresses to analyze end behavior based on the degree and leading coefficient, exploring different patterns depending on these factors. Additionally, learners engage with the Remainder Theorem and Factor Theorem to understand how zeros relate to factors of polynomials. The resource includes guided and independent practice, culminating in real-world applications and creative synthesis activities to reinforce the concepts.