Function VS Equation (any difference?)

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1

<p>Hello!</p>

<p>I seriously have a problem! What is the DIFFERENCE between function and equation?</p>

<p>f(x)=mx+b and y=mx+b are the same thing, isn’t it?</p>

<p>Ax+By=C and y=mx+b are the same too!</p>

<p>So what is the difference between function and equation?</p>

2

<p>In formal terms, a function is an operation that “maps” a set of inputs to a set of outputs. For example, f(x) = mx + b, g(x,y) = 2x + 3^y are considered functions.</p>

<p>An equation just means that two expressions are equal.</p>

<p>Assuming A,B,C are constants, Ax + By = C is said to be an implicit function. It can be rearranged to form an explicit function: y = (C - Ax)/B. Wikipedia has some info on implicit and explicit functions.</p>