## Common Functions Reference

While the most common notation for functions is f(x), the actual notation can vary. It can be anything: g(x), g(a), h(i), t(z). The letter or symbol in the parentheses is the variable in the

## Functional Equations

In this unit, we learn about functions, which are mathematical entities that assign unique outputs to given inputs. Worked example: Evaluating functions from equation (Opens a modal)

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## Evaluating and Solving Functions

Each functional equation provides some information about a function or about multiple functions. For example, f (x) − f (y) = x − y f(x)-f(y)=x-y f (x) − f (y) = x − y is a functional equation. Here, f

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Math is a way of solving problems by using numbers and equations.

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## How to create a function from an equation (example)

Here are some examples: Set of even numbers: {, -4, -2, 0, 2, 4, } Set of clothes: {hat,shirt,} Set of prime numbers: {2, 3, 5, 7, 11, 13, 17, } Positive multiples of 3 that are less than 10: {3, 6, 9}

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## Types of Functions

Equations such as y = x + 2, y = 3x, y = 2x - 1, are all examples of linear functions. The identity function of y = x can also be considered a linear function. The general form of a linear function

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