INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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### Inverse Variation

• An inverse variation is a relation between two variables x and y in which their product is always equal to some nonzero constant k, called the constant of variation. We say that y varies inversely as x.

• The graph of an inverse variation consists of two separate curves or branches. The graph is undefined for either x = 0 or y = 0. The graph gets very large in absolute value as x gets close to 0. As x gets very large in absolute value, the graph gets close to the x-axis.

• In many problems, information is given about values of x and y that satisfy a particular inverse variation. Use these values to find the constant k. Then use k to find a missing value corresponding to another given value.

### Inverse Variation

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Inverse Variation 0:23
• Constant of Variation
• Graphing Inverse Variation 1:08
• Example: Hyperbola
• Product Rule 3:54
• Lecture Example 1 5:31
• Lecture Example 2 7:43