Sketch the graph of following function:

$xy=16$

On the same set of axes, sketch the graphs of $y=\frac{10}{x}$ and $y=\frac{-10}{x}$.

Sketch the graph of following function:

$y=\frac{-8}{x}$

Sketch the graph of following function:

$y=\frac{-12}{x}$

Sketch the graph of following function:

$xy=-16$

Sketch the graph of each function:

$\mathrm{I}. \left(\text{a}\right)y=\frac{8}{x}, \left(\text{b}\right)y=\frac{12}{x}, \left(\text{c}\right)xy=16$ and $\mathrm{II}. \left(\text{a}\right)y=-\frac{8}{x}, \left(\text{b}\right)y=-\frac{12}{x}, \left(\text{c}\right)xy=-16$

Compare graphs of $\mathrm{I} \& \mathrm{II}$. What do u notice?

Sketch the curve $y=\frac{5}{x}$. Write down the equations of its asymptotes, and state the domain and range.

Ben is a dentist. He believes there is a relationship between the average number of cavities developed in each of his patients' mouths per year $\left(y\right)$ and the number of minutes they brush their teeth each morning and evening $\left(x\right)$ Ben believes the function $y=\frac{2}{x}$ represents this relationship. Alita is Ben's patient.

Determine how many cavities Alita is likely to develop in one year if she brushes her teeth for two minutes each morning and evening.

Ben is a dentist. He believes there is a relationship between the average number of cavities developed in each of his patients' mouths per year $\left(y\right)$ and the number of minutes they brush their teeth each morning and evening $\left(x\right)$ Ben believes the function $y=\frac{2}{x}$ represents this relationship. Chamse is Ben's patient.

Chamse develops four cavities in a year. Find the number of minutes she likely spent brushing her teeth each morning and evening.

[Enter the value excluding units]