Function Notation 2

[nycmathdad]

I know that f(x) is often used to represent y.
I also know that, for example, y = x + 2 is the same thing as saying f(x) = x + 2. Can the point (x, y) be expressed as (x, f(x))?

If x = 2 and y = 3, I can say that f(x) = 3 in the point (x, f(x)). Is this making sense?

If y is also expressed as f(x), is there another notation to represent the variable x?

 

[Harry_the_cat]

I know that f(x) is often used to represent y.
I also know that, for example, y = x + 2 is the same thing as saying f(x) = x + 2. Can the point (x, y) be expressed as (x, f(x))? YES

If x = 2 and y = 3, I can say that f(x) = 3 in the point (x, f(x)). Is this making sense? In the case above where f(x)=x+2, you can say that f(1)=3.

If y is also expressed as f(x), is there another notation to represent the variable x? No, x is the independent variable. y or f(x) is the dependent variable because it depends on x.

see red comments

 

[nycmathdad]

see red comments

Thank you so much.