Lesson: Intermediate Value Theorem Mathematics • 12th Grade

In this lesson, we will learn how to interpret the intermediate value theorem and use it to approximate a zero of a function.

Lesson Plan

Students will be able to

understand the statement of the intermediate value theorem,
use the intermediate value theorem to approximate zeros of functions.

Lesson Video

Lesson Playlist

02:04
04:00
+1

02:12

Lesson Worksheet

Q1:

The function satisfies and . But there is no between and 1 where . Why does this not violate the intermediate value theorem?

Q2:

The figure shows the graph of the function on the interval together with the dashed line .

and , but anywhere on . Why does this not violate the intermediate value theorem?

Q3:

The function is defined on the interval and is continuous there. It is known that and , and these are the only values of with . It is also known that . Explain why .