Apply Intermediate Value Theorem

Practice Questions

Calculus AB › Apply Intermediate Value Theorem

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1

Assume is continuous on the interval and has the values listed in the table below. Which of the following values of guarantees that has at least two roots?

Q10 table

2

Assume is continuous on the interval and has the values listed in the table below. Which of the following values of guarantees that has at least two roots?

Q10 table

3

Using Intermediate Value Theorem to analyze a continuous function, what can be deduced if a polynomial changes signs within an interval?

4

Using Intermediate Value Theorem to analyze a continuous function, what can be deduced if a polynomial changes signs within an interval?

5

Can Intermediate Value Theorem be applied to the function within the interval ?

6

Can Intermediate Value Theorem be applied to the function within the interval ?

7

Which of the following does NOT satisfy the conditions required to apply the Intermediate Value Theorem to a function on the interval ?

8

Which of the following does NOT satisfy the conditions required to apply the Intermediate Value Theorem to a function on the interval ?

9

In which interval does have a root?

10

In which interval does have a root?

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