Math 131 Exam I Sample Questions Worksheet With Answer Key - Washington University Page 2

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π
7.
Choose the function which represents the graph given below. The period is
.
3
=
a)
f
(
x
)
3
cos(
6
x
)
1
=
b)
f
(
x
)
3
sin(
6
x
)
1
=
c)
f
(
x
)
3
cos(
6
x
)
1
=
d)
f
(
x
)
3
sin(
6
x
)
e) none of the above
( ) = 10 and g x
=
8.
x
If f x
( )
log
x
, what is g f x
( ( )) ? (composition of functions)
⋅ log
x
a) 10
x
b) x
c) 1
⋅ log
d) x
x
e) none of the above
9.
Choose the function which represents the graph given below.
=
+
a)
f
(
x
)
. 0
( 3
x
3
)(
x
2
)(
x
) 5
=
+
2
b)
f
(
x
)
. 0
15
(
x
3
)(
x
) 2
(
x
) 5
=
+
+
c)
f
(
x
)
. 0
( 3
x
3
)(
x
2
)(
x
) 5
=
+
2
d)
f
(
x
)
( 9
x
3
)(
x
) 2
(
x
) 5
e) none of the above
x-intercepts are -3, 2, and 5. y-intercept is 9.

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