In this new section on Rational Expressions and Equations, our instructor begins with Inverse Variation. After a thorough investigation of the constant of variation k as well as how to graph inverse variations. You will learn about real world applications along with the product rule and how it can find missing points. Four extra examples round out this lecture.
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
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
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.