Chapter 11.2, Problem 5CYU

To determine

To graph: The function $y=\frac{32}{x}$ .

Explanation of Solution

Given: The cost of decorations for a party is $32. This is split among a group of friends. The amount each person pays y is given by $y=\frac{32}{x}$ , where x is the number of people.

The given function, $y=\frac{32}{x}$

For vertical asymptote set denominator to 0

  $x=0$

For horizontal asymptote, $x\to \infty$

Now make the table of x and y

  $\begin{array}{ccccc}x& -4& -2& 2& 4\\ y& -8& -16& 16& 8\end{array}$

Plot the points and shown graph below.