Complex Systems and Polynomial Functions · Algebraic Thinking
Polynomial End Behavior and Continuity
Analyzing how the leading coefficient and degree of a polynomial dictate its long term growth and shape.
Key Questions
- 1How can we predict the ultimate direction of a function without graphing every point?
- 2What does the degree of a polynomial tell us about its potential complexity?
- 3Why is continuity a vital assumption when modeling real world trends?
Common Core State Standards
CCSS.Math.Content.HSF.IF.C.7c
Grade: 11th Grade
Subject: Mathematics
Unit: Complex Systems and Polynomial Functions
Period: Algebraic Thinking
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
More in Complex Systems and Polynomial Functions
The Number System and Complex Solutions
Expanding the real number system to include imaginary units for solving quadratic equations with no real roots.
2 methodologies
The Remainder and Factor Theorems
Using synthetic and long division to find roots and simplify complex algebraic expressions.
1 methodologies