MTH122 (MOD2 Peer Discussion post response 200 words)

Please reply to both POSt1 and POST2 in at least 200 words

POST1:

Hello Class,

I am venturing out of my safe space and writing the first discussionpost. Based on the prompt, I have entered my table with my typical dailyactivities. Please, hold your jealousy when learning my excitingreal-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 everyelement 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, thisproves that my relation is a function.

References

Bittinger, M. L., Beecher, J. A., Ellengoben, D. J., and Penna, J. (2016). Algebra & trigonometry: Graphs and models(6thed.). [E-reader version]. Upper Saddle River, NJ: Pearson. Retrievedfrom

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)}

Iwanted to include a mapping but I couldn’t figure out how to paste itinto this format. It is attached if anyone is interested. Arelation is a correspondence between a first set, called the domain, anda second set, called the range such that each member of the domaincorresponds to at least one member of the range (Bittinger, Beecher,Ellenbogen, Penna, 2016).The Domain is the input and the range isthe output. For this example the Domain is the Time value and theActivity is the range value. My set of relations is a function. This isbecause 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(6thed.). [E-reader version]. Upper Saddle River, NJ: Pearson. Retrievedfrom http://www.pearsonmylabandmastering.com/northameri…