Use of f(x), y=f(x) and y

[sam777]

Hi, I have a bunch of questions in regards to the use of f(x) and y=f(x).

What is the difference between referring to a function/curve as f(x) and y=f(x). Like say f(x)=x^2. Would you say: "the point (0,0) lies on the curve y=f(x)" or "on the curve f(x)". Is it y=f(x) because if its just "the curve, f(x)", then its just "x^2" which isn't a relation. So saying y=f(x) means its y=x^2. Would you then be able to just say "the curve, f(x)=x^2)

Also, when you graph a function f(x), do you label the y-axis as f(x) or y?

Do you say f(x) intercept instead of y-int for a function?

For a relation y=x^2, could you sub in say x=2 like this: y(2) = (2)^2. Or would you just have to say: "let x=2..."

Thanks! 

[Commercekid2050]

Hello,

I am doing method 3 and 4 this year. In starting I generally say "curve of f(x), I do not think  curve of y= f(x) is used that much. 

It is correct to say curve f(x)=x square. F(x) is just a way of saying y=. F(x) is like function x.

In generally all cases y-axis is labeled as y never f(x) unless otherwise mentioned in the curve such as u=v+6, then  y-axis would be u. 

It is generally called "y-intercept'.

I think both ways are fine. I personally always use f(2) or y(2).

Hope this helps