Problem

Which of the following correspondences from A to R describe a function? If a correspondenc...

Which of the following correspondences from A to R describe a function? If a correspondence is a function, find its range. Justify your answers.

a. A is the set of college students, and B is the set of majors. To each college student corresponds his or her major.


b. A is the set of books in the library, and B is the set N of natural numbers. To each book corresponds the number of pages in the book.


c. A = {(a, b) | a ∈ N and b ∈ N}, and B = N. To each clement (a, b) of A corresponds the number 4a + 2b.


d. A = N and B = N. If x is even, then f(x) = 0, and if x is odd, then f(x) = 1.


e. A = N and B = N. To each natural number corresponds the sum of its digits.

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