Fahrenheit

Definition

Fahrenheit is a temperature scale where water freezes at 32 degrees and boils at 212 degrees under standard atmospheric conditions. It is often used in the United States for everyday temperature measurements.

5 Must Know Facts For Your Next Test

1. The formula to convert Fahrenheit to Celsius is $C = \frac{5}{9}(F - 32)$.
2. The formula to convert Celsius to Fahrenheit is $F = \frac{9}{5}C + 32$.
3. In inverse functions, converting between Fahrenheit and Celsius involves swapping the dependent and independent variables.
4. Understanding the inverse function concept can aid in deriving one temperature scale from another.
5. Graphs of the conversion functions between Fahrenheit and Celsius are linear with a positive slope.

Review Questions

• What is the formula for converting Fahrenheit to Celsius?
• Explain how you would derive the inverse function for converting Celsius to Fahrenheit.
• Describe the relationship between Fahrenheit and Celsius scales using their respective formulas.

Related terms

Inverse Function:

A function that reverses another function; if $f(x)$ maps $x$ to $y$, then its inverse $f^{-1}(y)$ maps $y$ back to $x$.

Linear Function:

$A$ function that creates a straight line when graphed; it has the form $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Celsius:

$A$ temperature scale where water freezes at 0 degrees and boils at 100 degrees under standard atmospheric conditions.