With f3 as defined in Example 1.10, for each n EN the equation f3(x) = n has exactly

Chapter 1, Problem 1.25

(choose chapter or problem)

With f3 as defined in Example 1.10, for each n EN the equation f3(x) = n has exactly twosolutions. (The solutions of f3(x) = 2 are x = 3 and x = 4, for example.y)(a) Define a mapping y : N -+ N such that for each n E N the equation y(x) = n has exactlythree solutions.(b) Define a mapping y : N -+ N such that for each n EN the equation y(x) = n has exactlyn solutions. (It suffices to describe y in words.)(c) Define a mapping y : N -+ N such that for each n E N the equation y (x) = n has infinitelymany solutions.

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