Function in Math

In mathematics, a function is a rule or relationship that assigns exactly one output value to each input value. It’s like a machine that takes an input, performs some operation or transformation on it, and produces a unique output.

There are several ways to depict a function, including verbal descriptions, tables, graphs, and algebraic expressions. Inputs for functions are also called domain and outputs are are codomain.

Formally, a function f is defined by a set of ordered pairs (x, y), where each input x is paired with exactly one output y. We write this as y = f(x), where y is the output corresponding to the input x.

Examples of Functions

Some examples of functions are:

• Linear Function: f(x) = mx + b

Example: f(x) = 2x + 3

• Quadratic Function: f(x) = ax² + bx + c

Example: f(x) = x² 4x + 3

• Exponential Function: f(x) = a \cdot b^x

Example: f(x) = 2 . 3^x

• Square Root Function: f(x) = √x

Functions are mathematical constructs that model relationships between inputs and outputs. In math, a function is like a machine that takes an input (usually a number) and produces a corresponding output. Each input value is associated with exactly one output value. You can think of it as a rule or a relationship between two sets of numbers, where every input has exactly one output.

In this article, we have mentioned the real-life applications of functions with examples.