Draw the graph of a possible function for the domain $x>0$ and range $y>0$.

Consider the graph of the piecewise function $y=f\left(x\right)$, where $-3\le x\le 6$. Find the equations for the function, including an interval of the domain that applies to each part.

A plumber charges $\$40$ for a service call plus $\$21$ an hour. Write a function that represents this situation and define the variables you used.

A plumber charges $\$40$ for a service call plus $\$21$ an hour. State a reasonable domain and range for this situation.

A plumber charges $\$40$ for a service call plus $\$21$ an hour. How much will you have to pay the plumber if he is at your house for fours hours?

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

Use your GDC to sketch a graph of this function. Label the axes.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

State a reasonable domain and range for this function.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

Determine the height of a person with femur length of $51 \mathrm{cm}$.

Forensic scientists can determine the height of a person based on the length of their femur. The equation is $h\left(f\right)=2.47f+54.10$, where $f$ is the length of the femur $\left(\mathrm{cm}\right)$ and $h$ is the person's height $\left(\mathrm{cm}\right)$. 

If someone is $161 \mathrm{cm}$ tall, what is the length of their femur? (Round answer up to $1$ decimal place)