For each of the following relations, please answer these questions: (1) Is it a function

Chapter 24, Problem 24.1

(choose chapter or problem)

For each of the following relations, please answer these questions: (1) Is it a function? If not, explain why and stop. Otherwise, continue with the remaining questions. (2) What are its domain and image? (3) Is the function one-to-one? If not, explain why and stop. Otherwise, answer the remaining question. (4) What is its inverse function? a. f.1; 2/; .3; 4/g. b. f.x; y/ W x; y 2 Z; y D 2xg. c. f.x; y/ W x; y 2 Z; x C y D 0g. d. f.x; y/ W x; y 2 Z; xy D 0g. e. f.x; y/ W x; y 2 Z; y D x 2 g. f. ;. g. f.x; y/ W x; y 2 Q; x2 C y 2 D 1g. h. f.x; y/ W x; y 2 Z; xjyg. i. f.x; y/ W x; y 2 N; xjy and yjxg. j. f.x; y/ W x; y 2 N; x y D 1g.

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