This case arises out of the National Labor Relations Board's exercise of jurisdiction over lay faculty members at two groups of Catholic high schools. We granted certiorari to consider two questions: (a) Whether teachers in schools operated by a church to teach both religious and secular subjects are within the jurisdiction granted by the National Labor Relations Act; and (b) if the Act authorizes such jurisdiction, does its exercise violate the guarantees of the Religion Clauses of the First Amendment? 434 U. S. 1061 (1978).