Celsius

Definition

Celsius is a scale for measuring temperature where 0 degrees represents the freezing point of water and 100 degrees represents the boiling point of water under standard atmospheric conditions. It is used in many scientific contexts due to its precision and ease of use.

5 Must Know Facts For Your Next Test

1. The Celsius scale is an example of a linear function, where each degree represents an equal increment in temperature.
2. Conversion between Celsius and Fahrenheit can be done using the inverse functions $F = \frac{9}{5}C + 32$ and $C = \frac{5}{9}(F - 32)$.
3. Graphing temperature conversions often involves understanding the slope-intercept form of linear equations.
4. Inverse functions allow for conversion back and forth between Celsius and other temperature scales such as Kelvin or Fahrenheit.
5. Understanding how to derive and apply the inverse function is crucial for solving problems involving different temperature scales.

Review Questions

• What linear equation converts Celsius to Fahrenheit?
• How can you find the inverse function that converts Fahrenheit back to Celsius?
• Why are inverse functions important when working with temperature conversions?

Related terms

Inverse Function:

A function that reverses another function, meaning if $f(x) = y$ then $f^{-1}(y) = x$. Inverse functions are essential for converting between different units or scales.

Linear Function:

A function that creates a straight line when graphed, typically written in the form $y = mx + b$. Linear functions are fundamental for understanding relationships like those seen in temperature conversions.

Slope-Intercept Form:

$y = mx + b$ is the slope-intercept form of a linear equation where $m$ represents the slope and $b$ represents the y-intercept. This form is useful for graphing and understanding linear relationships.