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CHAPTER 5
Preparing for Assessment
Cumulative Review
Read each question. Then fill in the correct answer on
the answer document provided by your teacher or on a
sheet of paper.
1.
What is the inverse of function
f
(
x
) graphed below?
C06_104A_139256
−
2
−
3
−
4
−
1
4
3
2
1
1 2 3 4
−
2
−
3
−
4
x
O
y
A
f
-
1
(
x
)
=
2
_
x
-
2
B
f
-
1
(
x
)
=
x
-
2
_
2
C
f
-
1
(
x
)
=
x
_
2
-
2
D
f
-
1
(
x
)
= -
2
x
-
2
2.
For what value of
x
is
√
x
-
3
-
9
=
6?
3.
For what value of
x
is 9 +
√
5
x
+
5
=
24
A
-
24
C
30
B
18
D
44
4.
The formula
d
=
3
6
t
2
represents
d
, the distance in
millions of miles a planet is from the Sun, in terms
of
t
, the number of Earth days it takes for the planet
to orbit the Sun. It takes Venus 224.7 Earth days to
complete one orbit. To the nearest tenth, how many
millions of miles is Venus from the Sun?
A
37.0
B
67.2
C
550.4
D
100,980.2
E
302,940.5
5.
Given the functions
f
(
x
)
=
x
2
-
9 and
g
(
x
)
=
x
+
1,
find each of the following functions:
(
f
+
g
)(
x
)
(
f
-
g
)(
x
)
6.
What is (
f
•
g
)(2) and
(
f
_
g
)
(
-
2) for the functions
f
(
x
)
=
x
2
-
36 and
g
(
x
)
=
x
+
4?
A
-
24;
-
14
B
-
128;
-
24
C
-
192;
-
16
D
212; 32
7.
Determine whether each pair of functions are
inverse functions.
f
(
x
)
=
x
+
1
g
(
x
)
= -
x
-
1
f
(
x
)
=
(
x
+
4)
2
g
(
x
)
=
√
x
-
4
f
(
x
)
= -
1
_
2
x
-
8
g
(
x
)
= -
2
x
-
16
f
(
x
)
= -
1
_
16
x
2
-
1
g
(
x
)
= 4
√
x
+
1
8.
Which of the following functions is graphed below?
C05_036A_903990
y
x
O
A
f
(
x
)
=
3
√
x
-
5
-
5
B
f
(
x
)
=
3
√
x
-
5
+
5
C
f
(
x
)
=
3
√
x
+
5
-
5
D
f
(
x
)
=
3
√
x
+
5
+
5
for
Standardized
Test Practice
Test-Taking Tip
Question 7
Remember, two functions are inverse functions if
both of their compositions are the identity function.
368
|
Chapter 5
|
Preparing for Assessment