When something becomes extinct, it ceases to exist; you don’t find it anywhere on the planet. Any living organism can become extinct. Dinosaurs, for example, have become extinct.
Examples: There are reasons to believe that the tiger will soon become extinct. *Some of the animals in the rainforests are on the verge of extinction.
The word `extinguish’, on the other hand, is usually used along with the word `fire’. When you extinguish a fire or a flame, you put it out.
Example: The firemen battled for three hours before they extinguished the fire.