WordNet sense 1 (put to the test, as for its quality, or give experimental use to):

essay, prove, test, try, essay

WordNet sense 2 (observe, check out, and look over carefully or inspect):

see

WordNet sense 3 (question or examine thoroughly and closely):

probe

WordNet sense 4 (consider in detail and subject to an analysis in order to discover essential features or meaning):

analyze, canvas, canvass, study, analyse