3. An internet provider reviews data on users of its services. It compares users' names (input, x) to the corresponding internet IP address used by each user (output, y). The relationship between the two variables is found to be a function. a.) Describe the domain, range, and codomain of this relationship in the context of the problem. b.) What does it mean for this relationship to be a function, in the context of the problem? c.) The company finds the function is onto, but it is not one-to-one. Describe exactly what this means in the context of the problem.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
icon
Related questions
Topic Video
Question
3. An internet provider reviews data on users of its services. It compares users' names (input, x) to
the corresponding internet IP address used by each user (output, y). The relationship between
the two variables is found to be a function.
a.) Describe the domain, range, and codomain of this relationship in the context of the problem.
b.) What does it mean for this relationship to be a function, in the context of the problem?
c.) The company finds the function is onto, but it is not one-to-one. Describe exactly what this
means in the context of the problem.
Transcribed Image Text:3. An internet provider reviews data on users of its services. It compares users' names (input, x) to the corresponding internet IP address used by each user (output, y). The relationship between the two variables is found to be a function. a.) Describe the domain, range, and codomain of this relationship in the context of the problem. b.) What does it mean for this relationship to be a function, in the context of the problem? c.) The company finds the function is onto, but it is not one-to-one. Describe exactly what this means in the context of the problem.
4. Suppose we impose a relation on the set of natural counting numbers,
N = {1,2,3.. }, such that
R = {(x, y)|x y - 1 = 1 }.
a.) Using words and symbols, describe what types of values will get paired
together in this relation. Be as specific as possible. You are encouraged to look
at some sample pairs in R so that you can more clearly see what the relationship
between the elements of the pair are. (Keep in mind that this step does a lot of
the logical work for parts b) through d), below!)
b.) Determine whether or not this relation has the reflexive property.
c.) Determine whether or not this relation has the symmetric property.
d.) Determine whether or not this relation has the transitive property.
Transcribed Image Text:4. Suppose we impose a relation on the set of natural counting numbers, N = {1,2,3.. }, such that R = {(x, y)|x y - 1 = 1 }. a.) Using words and symbols, describe what types of values will get paired together in this relation. Be as specific as possible. You are encouraged to look at some sample pairs in R so that you can more clearly see what the relationship between the elements of the pair are. (Keep in mind that this step does a lot of the logical work for parts b) through d), below!) b.) Determine whether or not this relation has the reflexive property. c.) Determine whether or not this relation has the symmetric property. d.) Determine whether or not this relation has the transitive property.
Expert Solution
Step 1

A function relates each element of a set with exactly one element of another set (possibly the same set).

What can go into a function is called domain.

what can possibly come out of a function is called codomain.

what actually comes out of function is called range.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage