 
 <prompt> ```For mathematics, function na relationship between set of inputs and set of permissible outputs wey get the property say each input dey related to only one output. An example na the function wey relate each real number "x" to im square "x". The output of function "f" wey correspond to input "x" dey denoted by "f"("x") (read ""f" of "x""). For this example, if the input na −3, then the output na 9, and we fit write . Likewise, if the input na 3, then the output still na 9, and we fit write . (The same output fit dey produced by more than one input, but each input dey give only one output.) The input variable(s) sometimes fit dey referred to as the argument(s) of the function.

Functions of different kinds dey "the central objects of investigation" for most fields of modern mathematics. E dey get many ways to describe or represent a function. Some functions fit dey defined by formula or algorithm wey tell how to compute the output for given input. Others dey given by picture, wey dem dey call the graph of the function. For science, functions sometimes fit dey defined by table wey give the outputs for selected inputs. A function fit dey described implicitly, for example as the inverse to another function or as solution of differential equation.

Now, provide a numbered list of answers to these questions:

1. Wetin be functions?
2. Between wetin?
3. Wetin be different types of function for today mathematics?
4. Wetin be the kind of image wey you fit use describe them?
5. How you fit imply the representation of a function?
6. Any other way?
7. Wetin be that way?
8. How you fit directly define a function?
9. Fit each input give many outputs?
10. Fit an output give many inputs?

Numbered answers:``` <response>: 1. relations
2. inputs and outputs
3. di central objects of investigation
4. a graph
5. as di inverse to anoda function
6. yes
7. a solution of a differential equation
8. by a table
9. no
10. yes 