```html ```html Mathimati | Functions Explorations
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Algebra Foundations: Understanding Functions

Functions are fundamental in mathematics, forming the basis for complex problem solving in many fields like engineering and computer science. In this lesson, we will explore the basics of functions and how they are used in solving real-world problems.

What is a Function?

A function is a relation between a set of inputs and a set of permissible outputs with the property that each valid input is related

Functions can be represented in various forms and visualizations to help in understanding their behavior. Let's explore a quadratic example.

Example Function: Quadratic Function

Adjust the coefficients to see how the quadratic function behaves.

Equation: f(x) = Ax2 + Bx + C

What is the y-value for x=3 in f(x) = 2x² + 3x + 1:

Understanding functions is important in various mathematical studies and applications. A function transforms inputs into outputs according to a set of rules.

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