About What is the function of
A function relates an input to an output, and has special rules of covering every element and being single valued. Learn how to write, name, and graph functions with examples and sets.
We will see many ways to think about functions, but there are always three main parts: 1. The input 2. The relationship 3. The output .
But we are not going to look at specific functions . instead we will look at the general ideaof a function.
Don't get too concerned about "x", it is just there to show us where the input goes and what happens to it. It could be anything! .
First, it is useful to give a function a name. The most common name is "f", but we can have other names like "g" .or even "marmalade" if we want. But let's use "f": We say "f of x equals x squared" what goes intothe function is put inside parentheses () after.
In , a function from aX to a set Y assigns to each element of X exactly one element of Y.The set X is called theof the functionand the set Y is called the of the function.Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of ais a function of time. , the concept was elaborate.
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