In everyday life
A restaurant menu. Diners order only what is on it, and a regular who always orders dish 12 gets a shock when dish 12 quietly becomes a different meal.
One case
A weather service answers one request: send a city, get today’s temperature in Celsius. A phone app has used it for two years. On 1 March the service starts to answer in Fahrenheit, without notice. The app still adds a °C sign, so users in Paris see 57 °C on a 14 °C day.
Every case
An API is a promise. Once other programs use it, they depend on every detail: the names, the types, the units, what an error looks like. Even an addition can break a strict reader, or code that expects only the values it already knows. The owner sees only their own code, so a change that looks small breaks callers they never meet. That is why many public APIs add a new version instead of changing the old one.
The word
Engineers call this
Treat an API as a promise to strangers. Check every change against its callers, additions too, and change or remove a part only with a new version and a warning.