##  [Intermediate Value Theorem](/intermediate-value-theorem) 

  ##  [Intermediate Value Theorem](https://puremath.quantumdictionary.io/intermediate-value-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The statement that a continuous real-valued function on a closed interval [a,b] attains every value between f(a) and f(b): for any value v between f(a) and f(b) there exists c in [a,b] with f(c)=v.