📐 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 & Quadratic Functions
AROC patterns to identify linear vs. quadratic · concavity from tables
🔢1.4
Polynomial Functions & Rates of Change
Leading term & degree · relative & absolute extrema · inflection points
🔣1.5
Polynomial Functions & Complex Zeros
Multiplicity · conjugate pairs · Fundamental Theorem · inequalities · even/odd
📐 1B — Rational Functions
➗1.7
Rational Functions & End Behavior
Horizontal & slant asymptotes — determined by comparing degrees
🎯1.8
Rational Functions & Zeros
Sign charts with zeros AND VAs · endpoint rules · reading inequalities from graphs
⚡🕳️1.9–1.10
Rational Functions — Vertical Asymptotes & Holes
Factors that don't cancel → VA · factors that cancel → holes · limit behavior · sign analysis
📊 1C — Transformations & Modeling
🔀1.12
Transformations of Functions
Translations, dilations, reflections — vertical & horizontal
📊1.13
Modeling Functions & Applications
Regression · linear, quadratic, cubic · TI-Nspire steps · residuals · choosing the right model