The reciprocal parent function has key properties including points of passage, asymptotes, and the reciprocal of a reciprocal function.
The key property of the reciprocal parent function is that its graph passes through the points (1,1), (-1,-1), and the origin (0,0). For example, the reciprocal parent function of f(x) = 1/x is g(x) = 1/x.
Moreover, the reciprocal parent function has asymptotes at the lines y = 0 and x = 0. These lines act as restrictions on the function's domain.
Additionally, the reciprocal of a reciprocal function results in the original function. In other words, the reciprocal function of the reciprocal parent function will give the original function back.
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