2. a. how do you represent the domain/range of continuous data? show an example of what that would look…

Brief Explanations:

a. For continuous data, the domain/range can be represented using intervals. Intervals can be open (e.g., $(a,b)$ where $a < x < b$), closed (e.g., $[a,b]$ where $a\leq x\leq b$), half - open (e.g., $[a,b)$ where $a\leq x < b$ or $(a,b]$ where $a < x\leq b$). Example: If a function represents the height of a growing plant over time and time $t$ is in the domain, and we consider the time from 2 to 5 days (inclusive), the domain is $[2,5]$. b. For discrete data, the domain/range is represented as a set of distinct points or a set of individual values. Example: If we have a function that counts the number of students in a class each day, and the number of students can be 20, 21, 22 on different days, the range is the set ${20,21,22}$.

Answer:

a. Using intervals such as $(a,b), [a,b], [a,b), (a,b]$. Example: Domain $[2,5]$. b. As a set of distinct points or individual values. Example: Range ${20,21,22}$.