Worksheet 6.1 - Integral As Net Change - Calculus Maximus Page 6
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9Calculus Maximus
WS 6.1: Integral as Net Change
9.
9. The graph of the continuous function f , consisting of three line segments and a semicircle, is shown
x
( )
( )
ò
=
above. Leg g be the function given by g x
f t
dt
.
-2
( )
( )
(a) Find g -6
and g 3
.
( )
¢ g 0
(b) Find
.
-6 < x < 3
(c) Find all values of x on the open interval
for which the graph of g has a horizontal
tangent. Determine whether g has a local maximum, a local minimum, or neither at each of these
values. Justify your answers.
-6 < x < 3
(d) Find all values of x on the open interval
for which the graph of g has a point of
inflection. Explain your reasoning.
Page 6 of 9
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