Intermediate Value Theorem (IVT)

Intermediate Value Theorem (IVT)

9th - 12th Grade

8 Qs

quiz-placeholder

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Intermediate Value Theorem (IVT)

Intermediate Value Theorem (IVT)

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

Created by

Gina Shaw

Used 11+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

According to the IVT, what value of c fulfills the theorem's guarantee?

2

3

0

5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

According to the IVT, what value of c fulfills the theorem's guarantee?

0

2

1/2

3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given the function f is continuous on the closed interval [-2, 2], find c such that f(c)=2

2

1

-1

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the function g is continuous on the closed interval [-1, 4] where g(-1) = -4 and g(4) = 1, which answer is guaranteed by the IVT?

g(c) = -3 for at least one c between -4 and 1

g(c) = 3 for at least one c between -1 and 4

g(c) = 3 for at least one c between -4 and 1

g(c) = -3 for at least one c between -1 and 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given h(x) is continuous on the interval [1,6], which interval(s) must contain a solution to h(x)=0?

[3,4]

[4,6]

[1,3]

None of these

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given g(x) is continuous on the interval [-2,4], which interval(s) must contin a solution to g(x)=-1?

[-2,2]

[0,2]

[2,4]

All of the above

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) is continuous on the closed interval [1,5], where f(1)=1 and f(5)=-3. Which answer is guaranteed by the intermediate value theorem?

f(c) = 2 for at least one c between -3 and 1

f(c) = -2 for at least one c between 1 and 5

f(c) = 2 for at least one c between 1 and 5

f(c) = -2 for at least one c between -3 and 1

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