High School What is the notation for denoting constants in a function?

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The discussion focuses on the notation for denoting constants in a function, specifically how to represent parameters like a and b alongside the independent variable x. It highlights that while x is the independent variable in a function f(x), constants a and b can be included in various ways, such as f(x; a, b) or f_{a,b}(x). There is no single correct notation, as long as it is clear what is meant. The use of a semicolon to separate constants from the variable is noted as a helpful convention. The conversation concludes with appreciation for the clarification on this notation.
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Looking for the mathematical expression for a parameter in a formula
I remember in grad school encountering the notation for what was referred to as either a parameter of a function or something like a constant variable.

For example, typically we denote a function as f( x ), where x is the independent variable.
If the function f( x ) = ax + b, then a and b are constants.

My question is how would I write the function to denote that it is using constants a and b, which aren't exactly variables but they can be changed.

Something like f( a, b ... x ) ?

I don't remember how to denote it, but I remember there was a way of doing so.
Does anyone know?
 
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It could be written as ##f(x;a,b)## or ##f_{a,b}(x)## but there is no one and only answer. You can do it as you like as long as it's obvious - or explained - what is meant.
 
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Ah, it was the semicolon. That is what I saw. Fantastic!

Thanks for the speedy reply.
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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