Find the domain and range of these functions. Note that in each case, to find the domain, determine the set of elements assigned values by the function.a) the function that assigns to each nonnegative integer its last digitb) the function that assigns the next largest integer to a positive integerc) the function that assigns to a bit string the number of one bits in the stringd) the function that assigns to a bit string the number of bits in the string

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A: The problem is from set, cardinality and topology.

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A: Introduction: In mathematics, a function is an expression, rule, or law that specifies a…

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A: GIVEN XX∈N and  X&gt;5

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A: We prove it by contradiction.

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A: Express the given interval in set-builder notation as shown below: x|x&gt;2

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A: Let the universal set be U and the set A is defined as follows.

Q: Prove that the set of all positive rational numbers has no smallest element.

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Q: is The set

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.