Discover some more applications of the Intermediate Value Theorem with a video that shows how to prove that an equation has at least one real solution. Viewers learn to consider domain and range to identify an appropriate interval to use the Intermediate Value Theorem.

Concepts

roots, solving equations, range, domain

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Additional Tags

math

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Instructional Ideas

• Have the class graph the functions to see if the equation has a solution on the interval described in the video

Classroom Considerations

• Learners should know how to find domain and range of functions, including trigonometric functions
• Pupils also need to be able to apply properties of continuity

• This video is hosted on YouTube

Pros

• Thorough explanation of steps individuals should perform to solve the problem

Cons

• Contains some slight inaccuracies
• Provides only one example; scholars could benefit from more