Question 1127525

{{{y=f(x)}}}

recall: {{{y}}} actually means {{{f(x)}}}

I find it helps sometimes to think of a function as a machine, one where you give a number as input to the machine and receive a number as the output. The name of the function is {{{f}}}, the input is {{{x}}}, and the output is read " {{{f}}} of {{{x}}}". The output is {{{f(x)}}}  sometimes given an additional name {{{y}}} by {{{y=f(x)}}}.

The domain of the function  {{{y=f(x)}}} is the set of values of {{{x}}} for which a corresponding value of {{{y}}} exists.

The range of the function {{{y=f(x)}}} is the set of values of {{{y}}} which correspond to the values of {{{x}}} in the domain.