Polynomial Functions

Linear, quadratic, and higher-degree polynomials

Quadratic Function

f(x) = ax² + bx + c

Parabola-shaped curve behind projectile motion and optimization

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Linear Function

f(x) = mx + b

Constant rate of change — the foundation of all mathematics

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Also available in:

Quadratic:한국어 日本語中文

Linear:한국어 日本語中文

Exponential & Logarithmic

Growth, decay, and their inverse

Exponential Function

f(x) = a · bˣ

Explosive growth or rapid decay — compound interest and population

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Logarithmic Function

f(x) = log_b(x)

The inverse of exponential — decibels, earthquakes, and pH

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Also available in:

Exponential:한국어 日本語中文

Logarithmic:한국어 日本語中文

Trigonometric Functions

Periodic waves and oscillations

Sine Function

f(x) = A·sin(Bx + C) + D

Wave-shaped oscillation modeling sound, light, and tides

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Cosine Function

f(x) = A·cos(Bx + C) + D

The wave that starts at its peak — twin of sine for signal analysis

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Tangent Function

f(x) = tan(x)

The slope-measuring trig function with periodic asymptotes

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Also available in:

Sine:한국어 日本語中文

Cosine:한국어 日本語中文

Tangent:한국어 日本語中文

Special Functions

Absolute value, roots, and rational forms

Absolute Value Function

f(x) = |x|

V-shaped function measuring distance from zero

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Square Root Function

f(x) = √x

Gentle curve rising from zero — inverse of squaring

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Rational Function

f(x) = 1/x

Hyperbola with asymptotes — models inverse relationships

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Also available in:

Absolute:한국어 日本語中文

Square:한국어 日本語中文

Rational:한국어 日本語中文

Math Function
Tutorial Library

Polynomial Functions

Quadratic Function

Linear Function

Exponential & Logarithmic

Exponential Function

Logarithmic Function

Trigonometric Functions

Sine Function

Cosine Function

Tangent Function

Special Functions

Absolute Value Function

Square Root Function

Rational Function

All Function Guides — Quick Index

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