Progress
11 / 14 available
📐 Unit 1A — Polynomial Functions
1.1
Change in Tandem
Functions, domain/range, increasing/decreasing, concavity, and rate of change
1.2
Rates of Change
ROC at a point (pos/neg/zero), comparing rates, and average rate of change over an interval
1.3
Rates of Change in Linear and Quadratic Functions
AROC patterns to identify linear vs. quadratic · concavity from tables
1.4
Polynomial Functions and Rates of Change
Leading term & degree · relative & absolute extrema · inflection points
1.5
Polynomial Functions and Complex Zeros
Multiplicity · conjugate pairs · Fundamental Theorem · inequalities · even/odd
📐 Unit 1B — Rational Functions & Modeling
1.7
Rational Functions and End Behavior
Horizontal & slant asymptotes — determined by comparing degrees
1.8
Rational Functions and Zeros
Sign charts with zeros AND VAs · endpoint rules · reading inequalities from graphs
1.9
Rational Functions and Vertical Asymptotes
Factors that don't cancel → VA · limit behavior (±∞) · sign analysis near asymptotes
1.10
Rational Functions and Holes
Factors that cancel → holes · equal one-sided limits · writing equations from limit properties
1.11
Equivalent Representations of Polynomial and Rational Expressions
Binomial theorem, polynomial long division, slant asymptotes
1.12
Transformations of Functions
Translations, dilations, reflections — vertical & horizontal
1.13
Function Model Selection and Assumption Articulation
Choosing the right model type (linear, polynomial, rational) for a context
1.14
Function Model Construction and Application
Building function models from data, tables, and real-world scenarios