Yes. In most sentence diagrams, the hyphenated words (nouns, adjectives, adverbs) are considered one word. There are "flow diagrams" where adverb-adjectives may be diagrammed consecutively (e.g. deep-blue, hard-hitting).
The word desperate hyphenated
Light-Headed is a hyphenated word.
The word "self-confidence" is hyphenated.
No, "hardworking" is not hyphenated.
Left-handed is a hyphenated compound.
Both the full word and the hyphenated form are accepted.
"Field" is not hyphenated.
Yes it should be hyphenated.
No it shouldn't be hyphenated.
No, "homework" shouldn't be hyphenated.
There shouldn't be any spaces in a hyphenated word.
It can be. Some words can be seen both hyphenated and non-hyphenated.