Find the domain and range of the following function f. It assigns to each string of bits (that is, of 0s and 1s) the number equal to twice of the number of zeros in that string. For example f(011001010101010) = 16.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. Find the domain and range of the following function f. It assigns to each string of bits (that is, of 0s and 1s) the number equal to twice of the number of zeros in that string. For example f(011001010101010) = 16.

2. Determine whether or not the function f : Z Z ! Z is onto, if f((m, n)) = m ЇААА n.

3. Give an explicit formula for a function from the set of all integers to the set of positive integers that is onto but is not one-to-one.

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