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Almost all humans respond to any of these characteristics with an urge to protect, and many mammals will respond to these features even in the young of other creatures if that mammal's own young have that feature. (This is responsible for examples of dogs adopting kittens and so forth - both kittens and dogs feature similar infant features - blunted snouts, large eyes). Excessive fuzziness is also characteristic of almost all mammal young, and serves different functions in different animals. Mostly it is a thermo-regulating device, as baby animals are often not able to fully control their body temperature yet, and some are often left alone without mother's warmth for long periods.
Sometimes the fuzziness also is used as protective coloration - baby cheetahs, for example, have long fuzzy fur on their backs, because cheetah mothers don't den, and "hide" their babies while they go hunt, and the longer fuzzy fur helps them to blend in with the tall grasses. Deer mothers also hide their young, and fawns have spotted fur to help them blend into dappled shade more effectively. In motion, however, the spots work against the deer and become targets, which is why they lose their spots as they get older.