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. Question content area bottom Part 1 Coose the correct answer below. No. If the function is continuous, it cannot change sign. Yes. If the function is defined piecewise, it may change signs without equaling zero. No. By the Intermediate Value Theorem, a function could change sign without equaling zero. Yes. By the Intermediate Value Theorem, if a function changed sign, its value was zero at some point