Example On Intermediate Value Theorem

example on intermediate value theorem

graph TB A[Example on Intermediate Value Theorem] A --> B[Definition] A --> C[Theorem Statement] A --> D[Assumptions] B --> E[Intermediate Value Theorem] C --> F[If a function f is continuous on the closed interval [a, b] and k is any number between f(a) and f(b), inclusive, then there exists at least one number c in the closed interval such that f(c) = k.] D --> G[Function is continuous on the interval] D --> H[Value k is between f(a) and f(b)] A --> I[Examples] I --> J[Example 1] I --> K[Example 2] I --> L[Example 3]