Review the intermediate value theorem and use it to solve problems.

It was first proved by Bernard Bolzano, and there is in fact a slightly different formulation of IVT that is called Bolzano's theorem. That version states that if a continuous function is positive …

Actually, it is very possible for the function to exceed those values in either direction, especially beyond the concerned interval. The IVT only tells us that for this case, every value between 3 …

The IVT only can be used when we know the function is continuous. If you are climbing a mountain, you know you must walk past the middle in order to get there, no matter how many …

Use the Intermediate value theorem to solve some problems.

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).

The intermediate value theorem (IVT) and the extreme value theorem (EVT) are existence theorems. They guarantee that a certain type of point exists on a graph under certain conditions.

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.

到现在为止，我们熟悉了三种不同的存在定理：介值定理（中间值定，IVT），极值定理（EVT），和中值定理（MVT）。 它们有一个类似的结构但他们在不同的条件下适用，且确 …

Disciplinary Core Ideas HS-LS1-IVT.A Structure and Function HS-LS1.A.2 All cells contain genetic information in the form of DNA molecules. Genes are regions in the DNA that contain …