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Mean Value Theorem

Authored by Patrick Nwokedi

Mathematics

11th - 12th Grade

CCSS covered

Used 89+ times

Mean Value Theorem
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10 questions

Show all answers

1.

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]

0
11
6
66

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the derivative of
f(x) = x2 - 3x - 28 ?

2x - 3
2x + 3
x - 3
2x2 - 3x - 28

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = x2 - 3x - 28,  [-4,7]

1.5
-1.5
0.5
-0.5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the average rate of change of the function below over the indicated interval?
f(x) = 12√(x),  [1,16]

12 / 5
1
0
36

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of
f(x) = 12√(x) ?  Read the answer choices carefully - there are subtle differences between some of them.

6√(x)
6 / √(x)
12√(x)
12 / √(x)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = 12√(x),  [1,16]

2.5
6.25
14.4
6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

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 + 5x + 5,  [-2,6]

9
1
72
0

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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