Identifying the Domain and Range of Functions in Real-World Applications

This lesson teaches how to identify the domain and range of functions by examining their applications. It explains the difference between functions and relations, using a T chart to illustrate domain and range variables. A real-world example involving cricket chirps predicting temperature is provided, with an equation to demonstrate the relationship. The lesson also covers graphing functions and discusses restrictions on domain and range, emphasizing that these restrictions depend on the specific situation. The lesson concludes by summarizing the key points about domain and range.

What is a key characteristic that distinguishes a function from a relation?

• Each domain element can be assigned to multiple range elements.

• Each domain element is assigned to exactly one range element.

• Each range element can be assigned to multiple domain elements.

• Each range element is assigned to exactly one domain element.

In the cricket chirps example, what does the variable 'C' represent?

• The number of chirps in 14 seconds

• The temperature in Celsius

• The temperature in Fahrenheit

• The number of chirps in 40 seconds

How can you predict the temperature using the number of cricket chirps?

• Subtract 40 from the number of chirps

• Multiply the number of chirps by 40

• Divide the number of chirps by 40

• Add 40 to the number of chirps

What is the restriction on the domain in the cricket chirps example?

• It includes all fractions

• It includes all positive integers

• It includes all negative integers

• It includes all real numbers

Why might the range be restricted to positive integers in the cricket chirps example?

• Because the temperature is always a fraction

• Because the equation only allows positive results

• Because the temperature is always a decimal

• Because the temperature can be negative