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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 [tex]x[/tex] as the independent variable?", it simply is asking for the isolation of [tex]y[/tex]. This means that [tex]y[/tex] 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 [tex]x[/tex] from both sides, so you end up with [tex]-y=3-x[/tex]. This may look finished, but [tex]y[/tex] is still attached to a negative sign. To fix this, we must divide both sides by [tex]-1[/tex] to receive our final answer of [tex]y=-3+x[/tex], which, when rearranged to be written in proper notation, reads as:

[tex]y=x-3[/tex]

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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