Test:
Functions II - Ambitious
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Question 1:
Find the period of the function
f
(
x
)
=
cos
(
θ
3
)
A
2
π
B
1
3
π
C
3
π
D
6
π
Question 2:
Find the period of the function
f
(
x
)
=
−
6
cot
(
3
θ
+
4
)
A
7
π
B
π
C
π
3
D
4
3
π
Question 3:
Find the period of the function
f
(
x
)
=
2
cos
(
θ
2
)
+
5
cos
(
θ
3
)
A
4
π
B
12
π
C
6
π
D
18
π
Question 4:
Find the period of the function
f
(
x
)
=
1
5
sin
(
3
θ
)
+
1
4
sin
(
θ
5
)
A
5
π
B
10
π
C
30
π
D
2
3
π
Question 5:
Find the amplitude of the function
f
(
x
)
=
3
sin
(
θ
15
)
A
3
B
1
C
6
D
30
Question 6:
Find the amplitude of the function
f
(
x
)
=
x
+
1
for
0
≤
x
<
2
and
f
(
x
+
n
)
=
f
(
x
)
for any integer.
A
3
B
1
C
2
D
0
Question 7:
Find the inverse of the function
f
(
x
)
=
2
e
x
.
A
f
−
1
(
x
)
=
e
1
2
x
B
f
−
1
(
x
)
=
1
2
ln
x
C
f
−
1
(
x
)
=
1
2
e
x
D
f
−
1
(
x
)
=
2
ln
x
Question 8:
If the function is defined as
f
(
x
)
=
x
2
+
a
x
+
b
, find the coefficients
a
and
b
if
f
(
2
)
=
3
and
f
(
3
)
=
7
A
{
a
=
1
b
=
−
1
B
{
a
=
0
b
=
1
2
C
{
a
=
1
b
=
2
D
{
a
=
−
1
b
=
1
Question 9:
On the diagram below is a sketch of a function
f
(
x
)
. Sketch a graph of
y
=
|
f
(
x
)
|
A
B
C
D
Question 10:
On the diagram below is a sketch of a function
f
(
x
)
. Sketch graph of
y
=
−
f
(
x
)
A
B
C
D
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