Mathematics
12th Grade
CCSS covered
Used 2+ times
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25 questions
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1.
MATCH QUESTION
3 mins • 5 pts
Given this graph of f'(x), match the correct interval to what is happening with the function f(x).
f(x) has a point of inflection
f(x) has a local max
x=-2
f(x) is concave up
f(x) is concave down
x=-1, 1, 2
f(x) is increasing
(-3,-1) and (1,2)
2.
HOTSPOT QUESTION
1 min • 2 pts
Given this graph of f'(x), select all values where f(x) has a point of inflection.
3.
CATEGORIZE QUESTION
3 mins • 1 pt
Based on this f'(x), categorize each statement as true or false.
Groups:
(a) True
,
(b) False
f is never concave down
f is concave up on (2,4)
x=5 is a local minimum
f is increasing on [1,5]
f(x) has 2 relative extrema
f(x) has 3 P.O.I.
4.
MATCH QUESTION
1 min • 1 pt
Given the graph of g'(x), Match the following characteristics.
x=-1, 6
g has a point of inflection
x=-2, 3
g is concave down
(-2, 3)
g has relative extrema
[-1,6]
g'' is undefined
x=-2, 1
g is decreasing
Tags
CCSS.HSF.BF.B.3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
f' is given, which could be f?
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the following statements must be true?
I. f has a relative Min at x=-3.
II. The graph of f has a point of inflection at x=2.
III. The graph of f is concave down for 0 < x < 4.
I only
II only
III only
I and II only
I and III only
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What are all intervals on which the graph of f is concave down?
-1 < x < 1
0 < x < 2
1 < x < 3 ONLY
-2 < x < -1 ONLY
-2 < x < -1 AND 1 < x < 3
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