Intermediate Value Theorem (IVT)
Authored by Gina Shaw
Mathematics
9th - 12th Grade
Used 12+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
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
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
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
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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