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A function, in mathematics, associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can also be elements from any given set. An example of a function is f(x) = 2x, a function which associates with every number the number twice as large. Thus 5 is associated with 10, and this is written f(5) = 10.

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Q: What is the definition of function rule?
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Related questions

How do you write rule for a function?

You can write them any way you like, as long as the basic definition of "function" is maintained. Basically, this means that the function must be defined uniquely defined for every input.


How do you do the chain rule of two multiples in order to find a derivative?

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As you get to harder and higher analysis of functions, it's not required. A function rule, apparently, is an equation that represents a function. A function, properly defined, is its graph. A graph is a subset of a plane, where it's the set of all points (a, b), and for every value a, f(a) = b is the definition of a function. So you can get a plane, squible some lines that's not over lapping, you get a function. How the HELL do you get an equation for that? Hence, the function is kinda useless? No! Function equations can help us making analysis of those that does have one. In terms of derivatives, limits etc.


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