What are different ways in representing function?

Answer 1

If you mean what are the various ways of representing a function? Then I'd suggest you ponder over the definition of a function at first. I think of functions as abstract entities that accept inputs and give a single output for every such input. Going off of this definition, various ways of representing a function are:

1) Explicit formula: This relates the output of a function to the input. i.e it tells you what exactly the function does to the input.

eg. f(x) = x +2 tells you the function adds 2 to the input value.

2) The graph of a function: This gives you a good idea of how the function behaves in it's entire domain (the set of inputs for which the output is defined and real).

3) A table of inputs and outputs.

4) Verbal description of a function