Stage 22 · Inverse-Proportion Functions

22.3.6 Bigger |k|, Farther From the Origin

22.3 Properties of the Inverse-Proportion Function

Point 6 of 6

22.3.6 Bigger |k|, Farther From the Origin

Core idea

As |k| grows, the whole hyperbola backs away outward from the origin, and as it shrinks the curve draws in closer.

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 · 22.3.6 Bigger |k|, Farther From the Origin