1 Unit will consist of couple of Lessons, couple of quiz’s, and 1 unit test to finish.

Please reply to both POSt1 and POST2 in at least 200 wordsPOST1:Hello Class,I am venturing out of my safe space and writing the first discussion post. Based on the prompt, I have entered my table with my typical daily activities. Please, hold your jealousy when learning my exciting real-life daily schedule. Time (T) Activity (A) 4 AM Sleeping 8 AM Signing Time cards 12 PM Lunch 4 PM Prioritizing emails 8 PM Homework 12 AM Sleeping I've decided to represent my relation (T, A) as ordered pairs as follows:(4AM, Sleeping)(8AM, Signing time cards)(12PM, Lunch)(4PM, Prioritizing emails)(8PM, Homework )(12AM, Sleeping)As defined by our text, a function is a relation where for every element in the domain, there is exactly one element in the range (p. 17). Assuming in my table where Time (T) is my domain and Activity (A) is my range, there is only one activity per time and no repetition, this proves that my relation is a function.ReferencesBittinger, M. L., Beecher, J. A., Ellengoben, D. J., and Penna, J. (2016). Algebra & trigonometry: Graphs and models (6th ed.). [E-reader version]. Upper Saddle River, NJ: Pearson. Retrieved from http://www.pearsonmylabandmastering.com/northameri...POST2: Time (T) Activity (A) 4:00 AM Sleeping 8:00 AM Answering Emails 12:00 PM Programming 4:00 PM Cooking Dinner 8:00 PM Homework/Work 12:00 AM Sleeping {(4:00 AM, Sleep) , (8:00 AM, Emails),(12:00 PM, Programming), (4:00 PM, Cooking), (8:00 PM Homework), (12:00 AM, Sleep)}I wanted to include a mapping but I couldn't figure out how to paste it into this format. It is attached if anyone is interested. A relation is a correspondence between a first set, called the domain, and a second set, called the range such that each member of the domain corresponds to at least one member of the range (Bittinger, Beecher, Ellenbogen, Penna, 2016).The Domain is the input and the range is the output. For this example the Domain is the Time value and the Activity is the range value. My set of relations is a function. This is because each Input, or Time has one and only one range, or Activity.References:Bittinger, M. L., Beecher, J. A., Ellengoben, D. J., and Penna, J. (2016). Algebra & trigonometry: Graphs and models (6th ed.). [E-reader version]. Upper Saddle River, NJ: Pearson. Retrieved from http://www.pearsonmylabandmastering.com/northameri...

Module 3: Critical Thinking Critical Thinking Assignment (85 Points)Choose one of the following two assignments to complete this week. Do not do both assignments. Identify your assignment choice in the title of your submission.Option #1: Fencing a Farmer’s FieldAs a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 1500 feet of fencing. Remember that a square maximizes area, so use a square in your work.Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.Find the function that models the area in terms of one of its sides.Find the point that maximizes the function you found in the second bulleted item.Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.Requirements:Paper must be written in 3rd person.Your paper should be 4-5 pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.Document formatting, citations, and style should conform to the CSU-Global Virtual Library CSU-Global Guide to Writing and APA: Introduction (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the New Sample APA Paper (Links to an external site.). In addition, information in the CSU-Global Virtual Library (Links to an external site.) under the Writing Center/APA Resources tab has many helpful areas (Writing Center, Writing Tips, Template & Examples/Papers & Essays, and others). Option #2: Cost of Fencing a GardenAs a property owner, you want to fence a garden which is adjacent to a road. The fencing of the side along the road must be stronger and cost $5 per foot. The fencing on the other sides cost $3 per foot. The area of garden is 2000 square feet. Remember that a square maximizes area, so use a square in your work.Draw several diagrams to express the situation and calculate the cost for each configuration, then estimate the dimension of minimum cost.Find the function that represents the cost in terms of one of its sides.Using the graphing utility, graph this cost function.Find the dimension that minimizes the cost of fencing and compare your results in #1.Requirements:Paper must be written in 3rd person.Your paper should be 4-5 pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.Document formatting, citations, and style should conform to the CSU-Global Virtual Library CSU-Global Guide to Writing and APA: Introduction (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the New Sample APA Paper (Links to an external site.). In addition, information in the CSU-Global Virtual Library (Links to an external site.) under the Writing Center/APA Resources tab has many helpful areas (Writing Center, Writing Tips, Template & Examples/Papers & Essays, and others).