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1. 32 points. The following graph is of the DERIVATIVE f'(x). Using the graph, answer the following questions.
(a) As what x-values do the local maxima of the function f(x) occur? (Select all that apply.)
A
B
C
D
E
F
G
(b) Find all open intervals on which f(x) is increasing. Find all open intervals on which f(x) is
decreasing. Write your final answer in the blanks provided.
Increasing:
Decreasing:
(c) Determine the x-values of all local minima of f(x). (Select all that apply.)
A
B
C
D
E
F
G
(d) Determine the x-values of all local maxima of f(x). (Select all that apply.)
A
B
C
D
E
F
G
(e) Determine the x-values of all inflection points of f(x). (Select all that apply.)
A
B
C
D
E
F
G
(f) Determine the x-values of all local extrema of f(x). (Select all that apply.)
A
B
C
D
E
F
G
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Math 106, Midterm 2, Version E
It breaks the question down step
by step so I can keep moving
instead of wasting forever
on one problem
It breaks the question down step
by step so I can keep moving
instead of wasting forever
on one problem
It breaks the question down step
by step so I can keep moving
instead of wasting forever
on one problem
It breaks the question down step
by step so I can keep moving
instead of wasting forever
on one problem
Critical Points and Sign of f'(x)
The derivative crosses the horizontal axis at A,
where f prime equals zero.
It also equals zero at point C.