Here is a strange anomaly that is reproducibly observed in Grapher.app on macOS. Instead of displaying qualitatively incorrect graph, it should say something like NAN (not a number), please.
y = 1 / (x ^ 2.0)
-> quadrant I and quadrant II
y = 1 / (x ^ 2.01)
-> quadrant I only
y = 1 / (x ^ 2.000000000000001)
-> quadrant I only
y = 1 / (x ^ 2.0000000000000001)
-> quadrant I and quadrant II
I wonder how many scientific papers have been published inadvertently using such tainted computational algorithm...