Sometimes called the soft-leaf or soft-leaved agave, the aforementioned animal-related names are a nod to the appearance of the plant's inflorescence, which—after years, generally—rises slightly before gravity brings it back down, giving the bloom a curved, "swan"-like or "foxtail" look.

[3] In addition to its inflorescence, when compared with other Agave species, A. attenuata is further unique with its soft, spineless leaves and the fact that it does not rapidly asexually produce dozens of "runners" or "pups" from the rhizome of the mother plant.

These factors have helped A. attenuata earn a positive reputation amongst gardeners as easy-to-manage; the species has become extremely popular as an ornamental plant in appropriate climates and zones, especially the American Southwest, Latin America and the Mediterranean.

After many months, this blossom subsequently dies following pollination and seed development, although numerous plantlets consequently sprout, both from the base of the plant and from the flower raceme.

A more recent study has reported it from Jalisco, on the west coast and east of Mexico State, in small colonies at elevations between 1,900 to 2,500 meters (6,200 to 8,200 ft), but there have been few sightings, suggesting this species is rare in the wild.