Calc 12 ch 2.3 Intermediate value theorem
Authored by Melissa Deveaux
Mathematics
12th Grade
CCSS covered
Used 1+ times
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13 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function f has a domain
, then it is _______________.increasing
extraneous
continuous
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2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function
, determine an interval where f is continuous.[0.5, 1.5]
[-1, 1]
[-2, 0]
[1, 1.5]
Tags
CCSS.HSF-IF.C.7B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Assume f(x) is continuous over the interval [-2, 3]. The function f has at least how many zeros?
1
2
3
4
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Determine the interval(s) for which the function is continuous. Select all that apply.
(p, 0)
[0, q]
[q, r]
(r, s)
(q, s)
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Use the Intermediate Value Theorem to find an interval between two consecutive integers that contains a zero of the function
[-1, 0]
[0, 1]
[1, 2]
(-1, 1)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Consider the function
. Can you conclude that there must be a zero between f(2) and f(3.1)?Yes, because f(2) is negative and f(3.1) is positive.
No, because f(2) is negative and f(3.1) is also negative.
Yes, because f(2) is positive and f(3.1) is negative.
No, because there is a discontinuity at x = 3.
No, because f(2) is positive and f(3.1) is also positive.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A hot apple pie is left on a window sill to cool. Suppose its temperature (degrees F) after x minutes is given by
. Give an interval in which its temperature will first be under(0, 0.5)
(0.5, 1)
(1, 1.5)
(1.5, 2)
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