For each of the following, determine whether the function is one-to-one, onto, or both

Chapter 24, Problem 24.14

(choose chapter or problem)

For each of the following, determine whether the function is one-to-one, onto, or both. Prove your assertions. a. f W Z ! Z defined by f .x/ D 2x. b. f W Z ! Z defined by f .x/ D 10 C x. c. f W N ! N defined by f .x/ D 10 C x. d. f W Z ! Z defined by f .x/ D ( x 2 if x is even x1 2 if x is odd: e. f W Q ! Q defined by f .x/ D x 2

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