SOLUTION: I know that there is only one output for each input, but why?

Question 141879This question is from textbook Algebra 2
: I know that there is only one output for each input, but why? This question is from textbook Algebra 2

Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
I don't have this text available to me, however, I suspect I know what they are asking. Note that most tutors here will not have the text available to them.
In a function, we essentially are taking some value for one variable to produce another. There is no possible way in the x-y coordinate system for a function f(x)=(anything involving x)to produce two function values. Moreover, for any number there is only one possible outcome for an expression.
Consider:
f(x)=1/x
f(1)=1 always
f(2)=1/2 always
f(3)=1/3 always
.
.
.
etc.

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