Stage 24 · Exponential & Logarithmic Functions
24.6.2 The Existence Theorem for Zeros
24.6 Zeros and Bisection: Cornering the Roots of an Equation
Point 2 of 6
24.6.2 The Existence Theorem for Zeros
Core ideaWith one end below water and the other above, a continuous path must cross the surface somewhere, so if f(a)·f(b)<0 there is a zero in between.
Module goal. Unify the roots of equations through a function lens, master the existence theorem for zeros and the bisection method, laying groundwork for continuity and approximation