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  2. So f (x) shows us the function is called " f ", and " x " goes in. And we usually see what a function does with the input: f (x) = x2 shows us that function " f " takes " x " and squares it. Example: with f (x) = x2: an input of 4. becomes an output of 16. In fact we can write f (4) = 16.

  3. Sep 12, 2011 · What is f (x)? It is a different way of writing "y" in equations, but it's much more useful!

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    • mroldridge
  4. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f (x) where x is the input. The general representation of a function is y = f (x).

  5. There is no difference between "f (x)" and "y". The notation "f (x)" means exactly the same thing as "y". You can even label the y-axis on your graphs with "f (x)", if you feel like it. It doesn't matter if you're graphing y=, looking at Y1= in your calculator, or plugging x-values into f(x)=; they all mean the same thing!

  6. In f (x), the f is the name used to identify the given function, while the x is the argument of the function, and describes the input value of the function. The argument of the function must be the same as the variable used on the right side of the equation.

  7. The most common graphs name the input value \(x\) and the output \(y\), and we say \(y\) is a function of \(x\), or \(y=f(x)\) when the function is named \(f\). The graph of the function is the set of all points \((x,y)\) in the plane that satisfies the equation \(y=f(x)\).

  8. Jan 30, 2024 · Definition: Function. A function is a rule for a relationship between an input, or independent, quantity and an output, or dependent, quantity in which each input value uniquely determines one output value. We say "the output is a function of the input."