what are all the things a fucntion has ?

[bimbo36]

[Fuzzwood]

Most basic visualisation: a black box which, when you enter a variable, it spews out an answer, based on the actual function.

[bimbo36]

so you throw this package in the box ?

 

functions ..

 

what is it ?

 

 

a function has y

 

a function has x

 

a function has f(x)

 

an equal sign ..

 

then numbers ..

 

roots ..

 

trigonomteric stuffs .. like sin cos .. theta ? sinx ?

 

 

fractions ...

 

sometimes the x is with numbers like multiplied ..

 

then some are with minus signs ..

 

some have ln .. or logarithm in it ..

 

 

 

 

the equations .. the quantites ..

 

are those like ..

 

y= 3apples+four and a half mangoes ?

 

find dy /dx ?

 

yea ..?

 

dy/dx of 3 apples + dy/dx of four and a half mangoes

 

 

 

 

try to find the change in y ..

 

when the quantities of apples and mangoes changes ?

 

 

 

[michel123456]

Most basic visualisation: a black box which, when you enter a variable, it spews out an answer, based on the actual function.

 

IIRC : a single answer.

 

But I don't know what a "fucntion" is.

[Xittenn]

A function is like google maps, but instead of asking the directions to get to the location it is you wish to go, you input the directions to take from where you are and then arrive at the destination. A technicality of functions, by their mathematical definition, is that they must be a one to one relation.

 

Each of addition, subtraction, multiplication, division and so on are relational operators and relate members of each of the sets of natural, integer, rational, irrational ... numbers. This will probably not help you better solve your calculus problems, calculus is something you get better at as you make more and more attempts to solve the problems that a text book presents.

 

It is however a fun topic to explore, if you enjoy quirky knowledge that often has very little practical use; just sayin'. It is something that is defined in the branches of mathematics that deal with logic, sets, categories, groups, numbers and so on. I have just started studying most of this myself and am very happy that I have!

Edited April 2, 2011 by Xittenn