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Consider these functions from the set of teachers in a
Chapter 1, Problem 17E(choose chapter or problem)
Problem 17E
Consider these functions from the set of teachers in a school. Under what conditions is the function one-to-one if it assigns to a teacher his or her
a) office.
b) assigned bus to chaperone in a group of buses taking students on a field trip.
c) salary.
d) social security number.
Questions & Answers
QUESTION:
Problem 17E
Consider these functions from the set of teachers in a school. Under what conditions is the function one-to-one if it assigns to a teacher his or her
a) office.
b) assigned bus to chaperone in a group of buses taking students on a field trip.
c) salary.
d) social security number.
ANSWER:
Solution:
Step1
Given that
A functions from the set of teachers in a school.
Step2
To find
We have to find conditions is the function one-to-one if it assigns to a teacher his or her?
Step3
One -to -One :- A function for which every element of the range of the function corresponds to exactly one element of the domain. We can write one-to-one as 1-1.
a. Office.
1. The function one-to-one if it assigns to a teacher his or her Office.
Condition:-It depends on whether they share their office or not.Possible that every teacher has single office.
2.The function not one-to-one if it assigns to a teacher his or her Office.