Intermediate value theorem (IVT) review (article) | Khan Academy
What is the intermediate value theorem? The intermediate value theorem describes a key property of continuous functions: for any function f that's continuous over the interval [a, b] , …
Intermediate value theorem (video) | Khan Academy
Discover the Intermediate Value Theorem, a fundamental concept in calculus that states if a function is continuous over a closed interval [a, b], it encompasses every value between f (a) …
Establishing continuity for EVT and IVT (article) | Khan Academy
A function must be continuous for the intermediate value theorem and the extreme theorem to apply. Learn why this is so, and how to make sure the theorems can be applied in the context …
Using the intermediate value theorem (practice) | Khan Academy
Let g be a continuous function on the closed interval [1, 4] , where g (1) = 4 and g (4) = 1 . Which of the following is guaranteed by the Intermediate Value Theorem?
Justification with the intermediate value theorem: equation
Discover how to apply the Intermediate Value Theorem to determine if a function has a solution within a specific interval. This engaging lesson explores the theorem's conditions, continuity, …
Worked example: using the intermediate value theorem
Discover how the Intermediate Value Theorem guarantees specific outcomes for continuous functions. With a given function f, where f (-2) = 3 and f (1) = 6, learn to identify the correct …
Justification with the intermediate value theorem: table
Discover how to apply the Intermediate Value Theorem with a table-defined function. Learn to determine if a continuous function has a solution within a specified interval, and justify your …
Intermediate value theorem (IVT) review (article) | Khan Academy
Review the intermediate value theorem and use it to solve problems.
Establishing differentiability for MVT (article) | Khan Academy
By now, we are familiar with three different existence theorems: the intermediate value theorem (IVT), the extreme value theorem (EVT), and the mean value theorem (MVT).
Justification with the intermediate value theorem - Khan Academy
Given a table of values of a function, determine which conditions allow us to make certain conclusions based on the Intermediate Value Theorem or the Extreme Value Theorem.