continuous vs facultative

continuous

adj
  • Not deviating or varying from uniformity; not interrupted; not joined or articulated. 

  • Expressing an ongoing action or state. 

  • Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D. 

  • Without stopping; without a break, cessation, or interruption. 

  • Without intervening space; continued. 

  • Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function). 

facultative

adj
  • Not obligate; optional, discretionary or elective. 

  • That grants permission or power to do something. 

  • Able to perform a particular life function, or to live generally, in more than one way. 

  • Of or relating to faculty, especially to mental faculty. 

  • At which a given function is positive. 

How often have the words continuous and facultative occurred in a corpus of books? (source: Google Ngram Viewer )