flex has 4 distinct synonyms spread across 3 of its 6 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
exhibit the strength of
“The victorious army flexes its invincibility”
form a curve
“The stick does not bend”
Synonyms, antonyms and the broader and narrower relations for flex come from Princeton University’s WordNet. Full sources and licences.
the act of flexing
“he gave his biceps a flex to impress the ladies”