Solution Found!
a) Define what it means for a function from the set of
Chapter 2, Problem 9RQ(choose chapter or problem)
Problem 9RQ
a) Define what it means for a function from the set of positive integers to the set of positive integers to be one-to-one.
b) Define what it means for a function from the set of positive integers to the set of positive integers to be onto.
c) Give an example of a function from the set of positive integers to the set of positive integers that is both one-to-one and onto.
d) Give an example of a function from the set of positive integers to the set of positive integers that is one-to-one but not onto.
e) Give an example of a function from the set of positive integers to the set of positive integers that is not one-to-one but is onto.
f) Give an example of a function from the set of positive integers to the set of positive integers that is neither one-to-one nor onto.
Questions & Answers
QUESTION:
Problem 9RQ
a) Define what it means for a function from the set of positive integers to the set of positive integers to be one-to-one.
b) Define what it means for a function from the set of positive integers to the set of positive integers to be onto.
c) Give an example of a function from the set of positive integers to the set of positive integers that is both one-to-one and onto.
d) Give an example of a function from the set of positive integers to the set of positive integers that is one-to-one but not onto.
e) Give an example of a function from the set of positive integers to the set of positive integers that is not one-to-one but is onto.
f) Give an example of a function from the set of positive integers to the set of positive integers that is neither one-to-one nor onto.
ANSWER:
SOLUTION
a)Step 1
Let f is a function from the set of positive integers to set of positive integers.
A function is said to be a one-one function,if every positive integer in the domain
is associated with one and only one positive integer in the co- domain.
b)