Stage 22 · Inverse-Proportion Functions

22.3.2 The Trap of Comparing Across Branches

22.3 Properties of the Inverse-Proportion Function

Point 2 of 6

22.3.2 The Trap of Comparing Across Branches

Core idea

You can't directly compare sizes between the two branches, so be careful crossing the break at x=0 and don't just assume.

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 · 22.3.2 The Trap of Comparing Across Branches