Answer :
To solve this question, we need to understand what the function [tex]\( C(F) \)[/tex] represents in the context given.
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Identifying the Input and Output:
- The input to this function is [tex]\( F \)[/tex], which represents the temperature in degrees Fahrenheit.
- The output is [tex]\( C(F) \)[/tex], which calculates the temperature in degrees Celsius.
3. Determining the Correct Interpretation:
- We know that the function is designed for converting Fahrenheit ([tex]\( F \)[/tex]) to Celsius ([tex]\( C \)[/tex]).
- Therefore, [tex]\( C(F) \)[/tex] must be the Celsius temperature corresponding to the given Fahrenheit temperature [tex]\( F \)[/tex].
Using this information, we conclude that:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This matches with the first option:
- [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit
Thus, the correct choice is the first statement.
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Identifying the Input and Output:
- The input to this function is [tex]\( F \)[/tex], which represents the temperature in degrees Fahrenheit.
- The output is [tex]\( C(F) \)[/tex], which calculates the temperature in degrees Celsius.
3. Determining the Correct Interpretation:
- We know that the function is designed for converting Fahrenheit ([tex]\( F \)[/tex]) to Celsius ([tex]\( C \)[/tex]).
- Therefore, [tex]\( C(F) \)[/tex] must be the Celsius temperature corresponding to the given Fahrenheit temperature [tex]\( F \)[/tex].
Using this information, we conclude that:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This matches with the first option:
- [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit
Thus, the correct choice is the first statement.