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If f is a function and x is an element in its domain, which statement is true about the graph of f?

The graph of f is the graph of the equation f = x.



The graph of f is the graph of the equation y = x.



The graph of f is the graph of the equation y = f(x).



The graph of f is the graph of the equation x = f(y).

User Aquarelle
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1 Answer

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An appropriate choice among these is
The graph of f is the graph of the equation y = f(x).

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Horizontal and vertical axes of the Cartesian plane are conventionally labeled and referred to as "x" and "y", respectively. When we talk about the graph of f(x) in that context, we usually mean the graph of y=f(x). However, this convention may not be followed in all cases. There may be no "y" label on the graph at all, or the horizontal axis may be labeled something other than "x".
User Blake Frederick
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