Rose Harrison and Clara Huizink Solutions for Exercise 28: Mixed practice

A computer program asks you for any word and returns the number of letters in that word. For what numbers $0\le x\le 10$ does $p\left(x\right)=x ?$ ,where the function is called $\text{'}p\text{'}$ for the program.

A hospital has $9$ floors above ground (including ground floor) and $3$ floors below ground. $T\left(n\right)$ gives the average number of times the elevator stops at the $n^{\mathrm{th}}$floor each day. Justify why $T\left(n\right)$ is a function. Explain your answer.

A hospital has $9$ floors above ground (including ground floor) and $3$ floors below ground. $T\left(n\right)$ gives the average number of times the elevator stops at the $n^{\mathrm{th}}$floor each day. Find the largest possible domain of $T\left(n\right)$.

A hospital has $9$ floors above ground (including ground floor) and $3$ floors below ground. $T\left(n\right)$ gives the average number of times the elevator stops at the $n^{\mathrm{th}}$floor each day. For each floor in the domain, suggest the number of times the elevator stops at that floor during $24$ hours. Write your answer as a list of ordered pairs.

A hospital has $9$ floors above ground (including ground floor) and $3$ floors below ground. $T\left(n\right)$ gives the average number of times the elevator stops at the $n^{\mathrm{th}}$floor each day. Write the possible range of $T\left(n\right)$. Justify your choice.

The table shows postage rates for letters and parcels. Draw a mapping diagram to represent the weights of items and the delivery charge.

The table shows postage rates for letters and parcels. Decide whether the weight determines the price or the price determines the weight. Add arrows to your mapping diagram to show this.

The table shows postage rates for letters and parcels.Determine whether this relation is a function or not. Explain your answer.