Interactive resource
Exam functions: hyperbola vs line
Functions. Compare k/x and a line through two points; read inequality solution sets. Free interactive GeoGebra resource — adjust parameters in the browser.
Overview
Compare k/x and a line through two points; read inequality solution sets.
Explanation
To compare y = k/x and y = ax + b, read the graph: which curve is above?
The set where k/x > ax + b is where the hyperbola sits above the line.
Intersection x-values solve k/x = ax + b and bound the intervals (exclude x = 0).
How to use
Adjust k and drag intersections A, B; watch the solution intervals move.