AP Precalculus ยท all 3 exam units

Free AP Precalculus lessons, worked step by step

Start with the 6 free topics, taken from all 3 units of the course and with no account needed: read the idea, follow the worked examples, then practise. Every practice question brings new numbers each time, so you learn the method, not the answer.

Start the first free lesson See AP Precalculus Prep

Polynomial and Rational Functions

10 topics, 2 free

  1. Change in Tandem and Rates of Change AP Precalculus Prep
  2. Rates of Change in Linear and Quadratic Functions AP Precalculus Prep
  3. Polynomial Functions and Rates of Change AP Precalculus Prep
  4. Polynomial Functions and Complex Zeros AP Precalculus Prep
  5. Polynomial Functions and End Behavior AP Precalculus Prep
  6. Rational Functions: End Behavior and Zeros Free
  7. Rational Functions: Vertical Asymptotes and Holes AP Precalculus Prep
  8. Equivalent Representations of Polynomial and Rational Expressions AP Precalculus Prep
  9. Transformations of Functions Free
  10. Function Models: Selection, Assumptions, Construction and Application AP Precalculus Prep

Exponential and Logarithmic Functions

10 topics, 2 free

  1. Arithmetic and Geometric Sequences; Linear and Exponential Change AP Precalculus Prep
  2. Exponential Functions Free
  3. Exponential Function Manipulation AP Precalculus Prep
  4. Exponential Models and Competing Models AP Precalculus Prep
  5. Composition of Functions AP Precalculus Prep
  6. Inverse Functions AP Precalculus Prep
  7. Logarithmic Expressions; Inverses of Exponential Functions AP Precalculus Prep
  8. Logarithmic Functions and Their Manipulation AP Precalculus Prep
  9. Exponential and Logarithmic Equations and Inequalities Free
  10. Logarithmic Models and Semi-log Plots AP Precalculus Prep

Trigonometric and Polar Functions

12 topics, 2 free

  1. Periodic Phenomena AP Precalculus Prep
  2. Sine, Cosine and Tangent and Their Values AP Precalculus Prep
  3. Sine and Cosine Graphs; Sinusoidal Functions Free
  4. Sinusoidal Function Transformations AP Precalculus Prep
  5. Sinusoidal Models from Context and Data AP Precalculus Prep
  6. The Tangent Function AP Precalculus Prep
  7. Inverse Trigonometric Functions AP Precalculus Prep
  8. Trigonometric Equations and Inequalities AP Precalculus Prep
  9. The Secant, Cosecant and Cotangent Functions AP Precalculus Prep
  10. Equivalent Representations of Trigonometric Functions AP Precalculus Prep
  11. Trigonometry and Polar Coordinates Free
  12. Polar Function Graphs and Their Rates of Change AP Precalculus Prep