Question

Complete and submit the assignment below, then you can proceed onto the next lesson.

1. In your own words, explain the meanings of domain and range.
2. Describe an advantage of function notation.
3. Write a short paragraph describing three real-world examples of different function that represent behaviors of quantities between 1995 and 2006. Describe one quantity that decreasing during this time, one that increased, and one that was constant. Present your results graphically.​

Answer 1

Explanation:

1. Domain refers to the set of possible input values for a function, while range refers to the set of possible output values for a function. In other words, the domain is the independent variable of the function, and the range is the dependent variable.

2. Function notation provides a clear and concise way to represent mathematical functions. It makes it easy to differentiate between different functions and allows for clear communication in mathematical discussions.

3. Three real-world examples of different functions that represent behaviors of quantities between 1995 and 2006 are as follows:

- The price of gasoline per gallon: This function would likely increase between 1995 and 2006 due to inflation and other factors.

- The number of internet subscribers: This function would likely increase rapidly between 1995 and 2006 due to increased accessibility and popularity of the internet.

- Average temperature: This function would likely remain constant year over year or experience minor fluctuations over the course of a decade.

I unfortunately cannot present these results graphically as I am a language model and do not have access to graphical capabilities.