Michael Sipser Edition 3 Exercise 0 Question 6 (Page No. 26)

Question

Let X be the set {1, 2, 3, 4, 5} and Y be the set {6, 7, 8, 9, 10}. The unary function$ f: X→Y$ and the binary function $g: X × Y →Y$ are described in the following tables.

a. What is the value of f(2)?
b. What are the range and domain of f?
c. What is the value of g(2, 10)?
d. What are the range and domain of g?
e. What is the value of g(4, f(4))?

Answer 1

1. 7
2. the range is y:y=7 & 6   domain x:1<=x<=5
3. 6
4. the range y:6<=y<=10  , domain  x:1<=x<=5
5. undefined