Anasayfa / AP Calculus / Module 00: Prerequisites
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AP CALCULUS Β· MODULE 00

Prerequisites:
Functions & Graphs

Essential knowledge before starting calculus. Click on any topic below to explore with detailed examples.

πŸ“˜ BUders Learning System
This module covers the fundamental function concepts needed for AP Calculus. Study each topic in order for best results.
πŸ“ 01
What is a Function?
Definition of a function, domain and range, vertical line test, function notation $f(x)$.
definition β†’ start
πŸ“Š 02
Key Function Families
Linear, quadratic, polynomial, rational, radical, and absolute value functions.
function types β†’ start
πŸ“ˆ 03
Exponential & Logarithmic Functions
$a^x$, $e^x$, $\ln x$, $\log_a x$, properties, domain, and graphs.
exp & log β†’ start
πŸ“ 04
Trigonometric Functions
$\sin x$, $\cos x$, $\tan x$, period, range, basic identities, and graphs.
trigonometry β†’ start
πŸ”„ 05
Inverse Functions
One-to-one functions, horizontal line test, finding inverses, $f^{-1}(x)$.
inverse β†’ start
🧩 06
Piecewise Functions
Definition, evaluation, graphing piecewise functions.
piecewise β†’ start
🎯 07
Transformations of Functions
Vertical/horizontal shifts, stretches/compressions, reflections.
transformations β†’ start
βš™οΈ 08
Combining Functions
Arithmetic operations, composition $(f \circ g)(x)$.
composition β†’ start
πŸͺž 09
Even & Odd Functions
Symmetry about y-axis or origin, testing $f(-x) = f(x)$ or $f(-x) = -f(x)$.
symmetry β†’ start
πŸ“ 10
Practice Problems
20 solved problems covering all topics in this module.
practice β†’ start
πŸ§ͺ 11
Test Yourself
20-question interactive quiz with instant feedback.
assessment β†’ start