Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
undiscouraged is an adjective meaning "not deterred". It carries one recorded sense.
not deterred
“pursued his own path...undeterred by lack of popular appreciation and understanding”
Definitions, synonyms and semantic relations for undiscouraged come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.