Chapter5 In-Class Quiz
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Helen Chen
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15 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
The graph of a function f is shown beside. Which of the following could be the graph of the derivative function f'?
2.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
3.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
0
4.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
The polynomial function f has a second derivative
function f′′. Several values of f′′ are given in the table.
Which statement must be true?
f changes concavity in the interval (2, 4).
f has a point of inflection at x = 3.
f has a local maximum at x = 3.
f is not increasing on the interval (0, 2).
5.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
The function f is continuous for all real numbers and has a relative maximum at (−4, 3) and a relative minimum at (1, −8). Which of the following statements must be true?
f has a point of inflection between (−4, 3) and (−1, 8).
f has a horizontal asymptote at either (−4, 3) or (1, −8).
f has at least one zero.
f is decreasing on the open interval (−4, 1).
6.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
1
0
7.
MULTIPLE CHOICE QUESTION
5 mins • 10 pts
Suppose f is a polynomial function of degree greater than 2 and f(a) = f(b) where a < b. Then which of the following statements must be true for at least one number c in the interval (a, b)?
I. f(c) = 0
II. f'(c) = 0
III. f''(x) = 0
I only
II only
II and III only
I, II, and III
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