Chapter 11, Problem 32CR

To determine

Graph the inverse variation $y=\frac{-18}{x}$

Answer to Problem 32CR

Explanation of Solution

Given: Write an equation of the inverse variation $y=\frac{-18}{x}$

Concept Used:

Inverse Variation The statement " y  varies inversely as  x  means that when  x  increases,  y decreases by the same factor.  In other words, the expression  $y=\frac{k}{x}\text{or}y·x=k$  is constant.

For inverse variation, use the equation $y=\frac{k}{x}$ , k as the constant of proportionality.

Calculation:

The shape of the graph of inverse proportion is a hyperbola.

If the inverse proportion is $xy=k$ , the hyperbola is in 1^st and 3^rd quadrant.

If the inverse proportion is $xy=-k$ , the hyperbola is in 2^nd and 4^th quadrant.

The graph of $y=\frac{-18}{x}$