No. If an input in a function had more than one output, that would be a mapping, but not a function.
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By definition. If one input has more than one outputs then it is not a function.
Linear function:No variable appears in the function to any power other than 1.A periodic input produces no new frequencies in the output.The function's first derivative is a number; second derivative is zero.The graph of the function is a straight line.Non-linear function:A variable appears in the function to a power other than 1.A periodic function at the input produces new frequencies in the output.The function's first derivative is a function; second derivative is not zero.The graph of the function is not a straight line.
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Yes, square root is one such example: square root of 4 is +2 or -2. The radical symbol (√) is used to denote the positive square root of a number; ie √4 = 2; The square root of a number is thus ±√(the number), eg square root of 4 is ±√4 = ±2.
It is possible.