Linear vs Exponential, Discrete vs Continuous

Math I
2.2 RSG 7 9

Based on Lesson 2.2 from Math I from Open Up Resources.

Learning Focus
Use representations to model situations with linear and exponential functions.

Determine when a discrete model or continuous model is most appropriate.

What is the difference between discrete and continuous functions?

How can I tell if a discrete or continuous model is best for a given situation?

Are all linear functions continuous? Are all arithmetic sequences discrete?

Are all exponential functions continuous? Are all geometric sequences discrete?

How is the domain related to whether the function is continuous or discrete?