About Function
Learn the definition, examples and types of functions in math. A function relates an input to an output and follows two rules: it covers every element of the input set and it is single valued.
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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About Function video introduction
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