Discrete and Continuous Functions

1. $\text{The}$ $\text{domain}$ $\text{is}$ $\text{the}$ $\text{whole}$ $\text{numbers}$ $\text{from}$ $0$ $\text{to}$ $7\text{.}$
2. $9$ $\text{is}$ $\text{more}$ $\text{than}$ $7\text{,}$ $\text{so}$ $\text{it}$ $\text{does}$ $\text{not}$ $\text{make}$ $\text{sense.}$

Answer: $9$

1. $\text{The}$ $\text{input}$ $\text{is}$ $\text{the}$ $\text{number}$ $\text{of}$ $\text{passengers,}$ $\text{a}$ $\text{whole}$ $\text{number}$ $\text{from}$ $0$ $\text{to}$ $8\text{.}$
2. $\text{So}$ $\text{the}$ $\text{domain}$ $\text{is}$ $\{0,1,\dots ,8\}\text{,}$ $\text{not}$ $\text{every}$ $\text{number}$ $\text{in}$ $\text{between.}$

Answer: $\{0,1,\dots ,8\}$

1. $\text{Only}$ $\text{whole}$ $\text{boxes}$ $\text{count}$ $\text{as}$ $\text{filled,}$ $\text{and}$ $5$ $\text{boxes}$ $\text{would}$ $\text{need}$ $30$ $\text{jars.}$
2. $\text{So}$ $4$ $\text{boxes}$ $\text{can}$ $\text{be}$ $\text{filled:}$ $\text{round}$ $\text{down.}$

Answer: $4$