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Topic 1

Polynomial and Rational Functions

Key Concepts & Understandings

1.1

Interpret and analyze rates of change in linear and quadratic functions

Learning resources

Reading
AP Precalculus — Free Notes, Flashcards & 700+ MCQ Practice Questions | College Board Syllabus Aligned | MathBlast 🚀(precalcblast.com)

Covers detailed notes and printable flashcards for polynomial/rational functions and other AP Precalculus topics suitable for spaced repetition review.

Reading
AP Precalculus Activities and Resources | Math = Love(mathequalslove.net)

Offers comprehensive printable worksheets and activities specifically aligned with AP Precalculus topics including polynomial and rational functions with practical examples and puzzles.

Practice exercises

Problem Set
AP Precalculus Polynomial and Rational Functions Practice Questions | FreeAPPractice.org(freeappractice.org)

Provides exam-style multiple-choice practice questions with instant explanations ideal for mastering polynomial and rational functions.

1.2

Understand polynomial functions: zeros, end behavior, and complex zeros

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1.3

Analyze rational functions including vertical asymptotes and holes

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1.4

Learn equivalent representations of polynomial and rational expressions

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1.5

Apply transformations of functions including shifts, reflections, stretches, and compressions

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1.6

Select and construct function models based on contextual problem situations

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