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Question 983801: One thing that been confusing me for awhile now is functions. Why is it set up like an input to output operation. My understanding is that f(x)=...... you put a value in for "x" say 3,5,7 and depending on the arrangement of variable this input value for x somehow translates into what y will wholly equal, but why? why does this work? and why not backwards why not plug in say the y-value in order to find the wholly x-value like f(y)=...
Is my understanding even correct? does plugging in the value for x give you the y-value, or the (x,y) on the coordinate graph?
Why is x the input and y the output and not the other way around?
please help
Answer by Timnewman(323)   (Show Source):
You can put this solution on YOUR website! Hi dear!
Lets draw this analogy;
consider call cost and call time.
let x be call time,y be call time.
It is noted that call cost depends on call time. i.e y=x
now for any value of x,
y will have a "unique"value.Also y,x will have a value.
if we say,let
 you will notice that for any value of x,say 9,y will not have a unique value but two values +3 or -3 which is not an idea of a fuction but a rule.
In conclusion,we say that a fuction f(x) must have a unique value.
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