Maths module 3
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?
Be sure to post an initial, substantive response by Thursday at 11:59 p.m. MST, and respond to two or more peers with substantive responses by Sunday at 11:59 p.m. MST. A substantive initial post answers the question presented completely and/or asks a thoughtful question pertaining to the topic. Substantive peer responses ask a thoughtful question pertaining to the topic and/or answers a question (in detail) posted by another student or the instructor.
