
Thms, Antiderivatives, and Riemann Sums Test
Authored by Kevin Ramm
Mathematics
12th Grade
CCSS covered
Used 5+ times

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20 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Let f be a function that is continuous on the interval (1, 10). If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?
I. f(x) has a least 2 zeros
II. For some c, 2 < c < 9, f(c) = 3
III. The graph of f(x) has a horizontal tangent
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the average rate of change of the function below over the indicated interval?
f(x) = x2 - 3x - 28, [-4,7]
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which value is guaranteed by the MVT for the function given: f(x) = x2 - 6x + 8 on [0,3]
f(c) = 10
f(c) = 4
f ' (c) = 3
f ' (c) = 7/3
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Can the MVT be applied to the function on the interval?
f(x) = (x - 3)2/3 on [1,4]
Yes
No
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Where is the graph continuous yet NOT differentiable?
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For a function that is strictly increasing, a right hand Riemann Sum is which of the following:
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
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