It is a relationship which is non-linear. The same amount of change in the independent variable brings about different amounts of changes in the dependent variable and these differences depend on the initial values of the independent variable.
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a number that is not rational real and can be used in an equatuion
No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.
Any relationship in which at least one pair of measurements has a different ratio to that for other pairs. Equivalently, it is a relationship in which all the points cannot be plotted as a straight line through the origin.