# 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

**Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber. **

**Becoming a subscriberOr look for another answer **