MTH122 (MOD3 Discussion Forum 250 words APA cited references)

Please reply to the below discussion post in at least 250 words and APA cited reference

Required

• Chapter 2, Sections 1 through 5, in Algebra & Trigonometry: Graphs and Models
• Burns, C. (2016,

  July

  28). Testing equations for symmetry. Retrieved from http://www.onemathematicalcat.org/Math/Precalculus_obj/testEqSym.htm

• Gibson, J. (2011). Graphs of functions . Retrieved from https://search-alexanderstreet-com.csuglobal.idm.oclc.org/view/work/bibliographic_entity%7Cvideo_work%7C222

  83

  14

Recommended

• Monterey Institute for Technology and Education. (n.d.). Finding domain and range. Retrieved from http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U17_L2_T3_text_final.html
• Stitz, C., & Zeager, J. (2013). College algebra [open textbook]. Section 1.7: Transformations. Retrieved from http://open.umn.edu/opentextbooks/BookDetail.aspx?bookId=12

Consider the following two functions:

• F(m)

  : The average temperature in Fahrenheit during month (m) of the year.

Month (m)

F(m)Month (m)F(m)Month (m)F(m)

January

42

May

72

September

73

February

43

June

83

October

63

March

52

July

84

November

55

April

63

August

84

December

44

• C(f): The conversion formula to calculate the temperature in Celsius based on the temperature in Fahrenheit (f).

For this discussion, your task is as follows:

• Calculate (C ∘ F) for the month of your choice.
• Discuss the meaning of the function (C ∘ F)(m).
• How does the composition of functions in parts (a) and (b) compare to (F ∘ C)(m)? Are they the same?