Ab Math Review Worksheet Page 4
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2
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511. (1999, AB-5) The graph of the function f, consisting of three line segments, is shown above. Let
x
( )
( )
∫
=
g x
f t dt
.
1
( )
( )
g − .
(a) Compute
g
4
and
2
x = .
(b) Find the instantaneous rate of change of g, with respect to x, at
1
[
]
−
(c) Find the absolute minimum value of g on the closed interval
. Justify your answer.
2, 4
x = and
x = . How many of these values are x-
(d) The second derivative of g is not defined at
1
2
coordinates of points of inflection of the graph of g? Justify your answer.
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