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Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

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Stalemate

When the question asks to write the equation "in function notation, with \(x\) as the independent variable?", it simply is asking for the isolation of \(y\). This means that \(y\) must be on its own side of the = sign with everything else on the other, because the dependent variable is being affected by the independent variable (hence the name "dependent").

The first step is to subtract \(x\) from both sides, so you end up with \(-y=3-x\). This may look finished, but \(y\) is still attached to a negative sign. To fix this, we must divide both sides by \(-1\) to receive our final answer of \(y=-3+x\), which, when rearranged to be written in proper notation, reads as:

\(y=x-3\)

Hope I could help! :)

facundo3141592

We have an equation and we want to rewrite it as a function. The function will be: y = f(x) = -3 + x

So we start with the equation:

x - y = 3

And we want to write this in the form y = f(x) (because we want x to be the independent variable)

To do this, we just need to isolate y on one side of the equation.

x - y = 3

Now we subtract x in both sides:

x - y - x = 3 - x

-y = 3 - x

Now we multiply both sides by -1:

-1(-y) = -1(3 - x)

y = -3 + x

Then we have:

y = f(x) = -3 + x

This is the equation written in function notation.

If you want to learn more, you can read:

https://brainly.com/question/3139036

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