Concavity and The Second Derivative Test CW
Quiz
•
Mathematics
•
12th Grade
•
Medium
Standards-aligned
Larry Cooper
Used 3+ times
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56 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The concavity of a function is described by its _______________. #1
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What will be true at an inflection point? (select the best answer) #2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3. #3
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
If f''(x)>0, then what will be true about f'(x) over that same interval? #4
f '(x) is constant
f '(x) is increasing
f '(x) is decreasing
f '(x) must have an inflection point in that interval
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
f(x) is pictured. Inflection points are most likely at which x values? #5
x=0 and 1.5
x=2 and 2.5
x=2.25
x=1
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which of the following describes an interval of f(x) that is both decreasing and concave up? #6
f '(x) < 0 and f "(x) < 0
f '(x) < 0 and f "(x) > 0
f '(x) > 0 and f "(x) > 0
f '(x) > 0 and f "(x) < 0
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the second derivative of the function: #7
f (x) = 2x - 5x6
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