Yes.
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The properties depend on what the transformations are.
some real world problems have more than one answer (output) given one input, these situations can be described by functions
It is calculus. Probability distributions can be described by functions and mathematical manipulation of those functions using algebra - and particularly calculus - enable complicated probabilities to be calculated.
Transformations can translate, reflect, rotate and enlarge shapes on the Cartesian plane.
They are called transformations on the Cartesian plane in the form of translation, reflection, enlargement and rotation