Course 05 · Advanced

AP Precalculus

Unified function modeling for the AP exam.

Overview

What this course covers.

AP Precalculus ties together polynomial, exponential, logarithmic, and trigonometric functions under one unified framework. This course is structured specifically to prepare students for the AP Precalculus exam and for AP Calculus.

PrerequisitesAlgebra 2 and Trigonometry (or concurrent).

Next CourseAP Calculus AB →

Try a sample problem

Test the waters.

No login needed. Solve the problem below to get a feel for what we cover.

Problem

If f(x) = 2x + 3, what is f⁻¹(x)?

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Curriculum

Topics & units.

Unit 1

Polynomial & Rational Functions

›End behavior & zeros
›Polynomial inequalities
›Rational function graphs
›Polynomial long division & synthetic division

Unit 2

Exponential & Logarithmic Functions

›Exponential modeling
›Logarithmic properties
›Inverse relationships
›Regression models

Unit 3

Trigonometric Functions

›Unit circle & radian mastery
›Sinusoidal modeling
›Inverse trig functions
›Trig identities review

Unit 4

Functions & Rates of Change

›Average vs instantaneous rate of change
›Function composition & inverses
›Transformations
›Intro to limits (conceptual)

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