Algebra functions are mathematical tools that relate inputs to outputs through defined rules. They form the foundation of many advanced topics in mathematics and science!

What is a Function?

A function is like a machine that takes an input (x) and produces a unique output (y).
🧠 Example:
f(x) = 2x + 3

  • Input: x = 1 → Output: f(1) = 5
  • Input: x = 2 → Output: f(2) = 7
algebra_functions

Common Function Types

  1. Linear Functions
    f(x) = mx + b
    📈 Graphs are straight lines.

  2. Quadratic Functions
    f(x) = ax² + bx + c
    📉 Graphs form parabolas.

  3. Exponential Functions
    f(x) = ab^x
    🔥 Growth/decay patterns.

  4. Polynomial Functions
    f(x) = a_nx^n + ... + a_1x + a_0
    📐 Higher-degree behavior.

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Real-World Applications

  • Physics: Modeling motion with equations like s(t) = ut + ½at²
  • Economics: Calculating cost/functions with variables
  • Computer Science: Algorithms and data structures

🔗 Explore advanced algebra functions →
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