# Intermediate Value Theorem: Examples and Applications

Instructions:

question 1 of 3

### Given the values of the continuous function f(x) below, how many solutions will there be to f(x)=4.1?

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### 2. Consider the function below. According to the intermediate value theorem, is there a solution to f(x) = 4 for a value of x between 4 and 7?

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This quiz and worksheet combination will help you practice using the intermediate value theorem. Practice questions provide functions and ask you to calculate solutions.

## Quiz & Worksheet Goals

Use this assessment to:

• Calculate specific intermediate values
• Determine the number of possible solutions for some problems
• Identify situations in which the intermediate value theorem applies and does not apply

## Skills Practiced

• Reading comprehension - ensure that you draw the most important information from the related lesson on using the intermediate value theorem
• Making connections - understanding of the concept of continuous function
• Problem solving - use acquired knowledge to solve intermediate value practice problems
• Knowledge application - use your knowledge to answer questions about when the intermediate value theorem applies