TOPICS
Search

Intermediate Value Theorem

Explore IntermediateValueTheorem on MathWorld


The intermediate value theorem states that if f is continuous on a closed interval [a, b], and c is any number between f(a) and f(b) inclusive, then there is at least one number x in [a, b] such that f(x) = c.

Intermediate value theorem is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.


Classroom Articles on Calculus I (Up to College Level)

  • Calculus
    		•
  • Indefinite Integral
    		•
  • Chain Rule
    		•
  • Inflection Point
    		•
  • Continuous Function
    		•
  • Integral
    		•
  • Critical Point
    		•
  • Limit
    		•
  • Definite Integral
    		•
  • Maximum
    		•
  • Derivative
    		•
  • Mean-Value Theorem
    		•
  • Discontinuity
    		•
  • Minimum
    		•
  • Extreme Value Theorem
    		•
  • Newton's Method
    		•
  • First Derivative Test
    		•
  • Riemann Sum
    		•
  • Fundamental Theorems of Calculus
    		•
  • Second Derivative Test
    		•
  • Implicit Differentiation
    		•