22.3 Properties of the Inverse-Proportion Function
Point 5 of 6
22.3.5 k Is That Rectangle's Area
Core idea
Drop perpendiculars from a point on the graph to both axes to form a rectangle, whose area is always |k|, so remember xy=k.
Module goal. Read off increase/decrease behavior, symmetry, and the geometric meaning of k straight from the graph, matching each property to its picture.
eastmath.com · 22.3 Properties of the Inverse-Proportion Function · 22.3.5 k Is That Rectangle's Area