

Understanding Rolle's Theorem and Its Application
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function f(x) given in the problem?
x^2 - 4x + e^x
x^2 - 4x - e^x
x^2 - 4x * e^x
x^2 + 4x * e^x
Tags
CCSS.HSF.IF.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a condition for Rolle's Theorem?
The function must be discontinuous on the interval.
The function must be differentiable on the closed interval.
The function must have equal values at the endpoints of the interval.
The function must be non-differentiable at some point in the interval.
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(0) for the given function?
1
0
16
4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied to find the first derivative of the function?
Power Rule
Product Rule
Quotient Rule
Chain Rule
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor in the expression for the first derivative?
x^2
e^x
2x
4
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to solve the quadratic equation in the problem?
Quadratic formula
Graphical method
Factoring
Completing the square
Tags
CCSS.8.EE.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate decimal value of C found in the problem?
4.236
2.236
3.236
5.236
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