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Course: AP??/College Calculus BC?>?Unit 1
Lesson 16: Working with the intermediate value theorem- Intermediate value theorem
- Worked example: using the intermediate value theorem
- Using the intermediate value theorem
- Justification with the intermediate value theorem: table
- Justification with the intermediate value theorem: equation
- Justification with the intermediate value theorem
- Intermediate value theorem review
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Justification with the intermediate value theorem
Problem
The table gives selected values of the continuous function .
Below is Isla's attempt to write a formal justification for the fact that the equation has a solution where .
Is Isla's justification complete? If not, why?
Isla's justification:We are given thatis continuous. So, according to the intermediate value theorem,must have a solution when is between and .