Intermediate Value Theorem worksheets
Access printable intermediate-value-theorem worksheets
answer choices
Yes because there is a sign change between x = -5 and x = 5
No because there is a discontinuity between x = -5 and x = 5
Yes because the Intermediate Value theorem applies
No because there is no sign change between x = 5 and x = -5
Q. TRUE OR FALSE? If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.
answer choices
TRUE
FALSE
CANNOT BE DETERMINED
Q. TRUE OR FALSE? If f(x) = |x+1|/(x+1), then there is a zero on the interval [-2,0].
answer choices
TRUE because there is a sign change on the interval
FALSE because there is no sign change on the interval
TRUE because of the Intermediate Value Theorem
FALSE because the function is discontinuous on the interval
Q. Given the function f(x) = x3 + x - 3, which of the intervals below contains a zero?
answer choices
[-1,1]
[0,1]
[1,2]
None of these intervals
Q. Given the function g(x) = 2x4 - x3 + 8/x which of the intervals must contain a zero?
answer choices
[-1,1]
[0,2]
[2,4]
None of these intervals
Q. TRUE OR FALSE? There is a zero on the interval [1,3].
answer choices
True because the function is continuous and there is a sign change on the interval [1,3]
We cannot be certain since the function is not continuous on the interval [1,3]
False because there is no sign change on the interval [1,3]
False because the graph is not continuous on the interval [1,3]
Q. TRUE OR FALSE? There is NO zero on the interval [-4,0].
answer choices
True - the function is not continuous on the interval
True - there is no sign change on the interval [-4,0]
False - the function is continuous and there is a sign change on the interval [-4,0]
False - the IVT is an existence theorem. It can tell us when we can be certain there IS a zero but not when to be certain when there is NOT.
Q. Given a continuous function on the interval [4,7]. Let's say that f(4) = 10 and f(7) = 20. Is there a value on the interval [4,7] where f(x) = 15?
answer choices
Yes - if the function is continuous, then there must be an x value on that interval that passes through 15 on its way from 10 to 20.
No because there is no sign change on the interval [4,7].
No because that would be just too good to be true.
Yes - at x = 5.5.
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Interactive intermediate-value-theorem worksheets & quizzes
Quizizz is a powerful tool for teachers to create interactive worksheets to help students learn mathematics, including calculus. With Quizizz, teachers can create worksheets to test students on the Intermediate Value Theorem and other calculus concepts, helping them to better understand and apply the theorem. Quizizz provides teachers with an easy and effective way to create engaging worksheets that help students master mathematics and calculus.