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YouTube

AP Precalculus Unit 1 - Polynomial and Rational Functions

Math with Professor V via YouTube

Overview

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Master polynomial and rational functions through this comprehensive video series covering the first unit of AP Precalculus over nearly 11 hours of instruction. Learn fundamental concepts starting with distance and midpoint formulas, then progress through graphing equations, lines, circles, and functions. Explore function properties, transformations, and piecewise-defined functions before diving into linear and quadratic function analysis. Study polynomial functions, their models, and inequalities, then advance to rational function properties and graphing techniques. Develop skills in finding real and complex zeros using the Fundamental Theorem of Algebra, solving polynomial and rational inequalities, and calculating average rates of change with secant lines. Each lesson provides step-by-step explanations, worked examples, and clear graphing processes designed to build understanding and confidence for AP exam success.

Syllabus

Graphing Rational Functions Step by Step | AP Precalculus Review with Professor V
Graphing Rational Functions--Clear & Simple 4 Step Process! | Math with Professor V *
Precalculus: Average Rate of Change & Equation of the Secant Line | Math with ProfessorV
Precalculus: Complex Zeros & the Fundamental Theorem of Algebra (Video #19) | Math with Professor V
Precalculus: The Real Zeros of a Polynomial Function (Video #18) | Math with Professor V
Precalculus: Polynomial and Rational Inequalities (Video #17) | Math with Professor V
Precalculus: The Graph of a Rational Function (Video #16) | Math with Professor V
Precalculus: Properties of Rational Functions (Video #15) | Math with Professor V
Precalculus: Polynomial Functions and Models (Video #14) | Math with Professor V
Precalculus: Inequalities Involving Quadratic Functions (Video #13) | Math with Professor V
Precalculus: Quadratic Functions and Their Properties (Video #12) | Math with Professor V
Precalculus: Properties of Linear Functions and Linear Models (Video #11) | Math with Professor V
Precalculus: Mathematical Models-Building Functions (Video #10) | Math with Professor V
Precalculus: Graphing Techniques-Tranformations (Video #9) | Math with Professor V
Precalculus: Library of Functions; Piecewise-Defined Functions (Video #8) | Math with Professor V
Precalculus: Properties of Functions (Video #7) | Math with Professor V
Precalculus: The Graph of a Function (Video #6) | Math with Professor V
Precalculus: Functions (Video #5) | Math with Professor V
Precalculus: Circles (Video #4) | Math with Professor V
Precalculus: Lines—a Review (Video #3) | Math with Professor V
Precalculus: Graphs of Equations in 2 Variables—Finding Intercepts & Testing for Symmetry (Video #2)
Precalculus: The Distance and Midpoint Formulas (Video #1) | Math with Professor V

Taught by

Math with Professor V

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