Is it true that a continuous function that is never zero on an interval never changes sign on that interval? Give reasons for your answer. . . . Coose the correct answer below. O Yes. If the function is defined piecewise, it may change signs without equaling zero. O Yes. By the Intermediate Value Theorem, if a function changed sign, its value was zero at some point. O No. If the function is continuous, it cannot change sign. O No. By the Intermediate Value Theorem, a function could change sign without equaling zero