Intermediate values and bisection

Practice the Intermediate Value Theorem and bisection method in this optional precalculus-to-calculus bridge. Work from continuity and sign-change reasoning to root brackets, repeated interval halving and rigorously stated error bounds. Single-select and multiselect questions challenge common mistakes about uniqueness, discontinuities and stopping criteria. Worked explanations show why each guarantee applies. Complete continuity and polynomial-root prerequisites first; this is introductory numerical reasoning, not a full numerical-analysis course.