Cartestian plane
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Constant variation is a relationship between two variables where one is a fixed multiple of the other. The graph of such a relationship is a straight line through the origin.
In general the function and it inverse are not the same and do not have the same graph. If we look at a special function f(x)=x, it is equal to its inverse and the graph is the same. Think of the inverse of a function as changing all the x's to y's and vice versa. Well, in the function f(x)=x, all the x's are already y's and vice versa so it is its own invese.
hyperbola
The graph of the function y(x) = 1/x is a hyperbola.
x goes up by 1,2,3,4, etc. and y goes up at a steady rate in the graph its a stright line