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Answer :
To understand what [tex]\( C(F) \)[/tex] represents in the given function, let’s break it down step by step.
1. Identify the Purpose of the Function:
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This formula is used to convert temperatures from degrees Fahrenheit to degrees Celsius. It’s a standard formula known for its purpose of making temperature conversions between these two units.
2. Understand the Input and Output:
- The input of the function, denoted by [tex]\( F \)[/tex], represents the temperature in degrees Fahrenheit that you want to convert.
- The output of the function, which is [tex]\( C(F) \)[/tex], represents the converted temperature in degrees Celsius.
3. Interpret the Symbols:
- [tex]\( C(F) \)[/tex] is the function notation.
- Here, [tex]\( C \)[/tex] stands for Celsius, and [tex]\( F \)[/tex] stands for Fahrenheit. It helps us understand that C is calculated as a function of F.
4. Correct Interpretation of [tex]\( C(F) \)[/tex]:
- Since [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] converts a Fahrenheit temperature to Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when the temperature in degrees Fahrenheit is used as the input.
So, the correct interpretation of the function [tex]\( C(F) \)[/tex] is:
"C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
1. Identify the Purpose of the Function:
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This formula is used to convert temperatures from degrees Fahrenheit to degrees Celsius. It’s a standard formula known for its purpose of making temperature conversions between these two units.
2. Understand the Input and Output:
- The input of the function, denoted by [tex]\( F \)[/tex], represents the temperature in degrees Fahrenheit that you want to convert.
- The output of the function, which is [tex]\( C(F) \)[/tex], represents the converted temperature in degrees Celsius.
3. Interpret the Symbols:
- [tex]\( C(F) \)[/tex] is the function notation.
- Here, [tex]\( C \)[/tex] stands for Celsius, and [tex]\( F \)[/tex] stands for Fahrenheit. It helps us understand that C is calculated as a function of F.
4. Correct Interpretation of [tex]\( C(F) \)[/tex]:
- Since [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] converts a Fahrenheit temperature to Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when the temperature in degrees Fahrenheit is used as the input.
So, the correct interpretation of the function [tex]\( C(F) \)[/tex] is:
"C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
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- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
Rewritten by : Batagu
