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Preparing for Assessment
39.
Use the graph to answer the following.
1
C05_029A_903990
y
x
O
a.
Which function is represented by the graph?
1
A
y
=
3
√
x
-
3
-
2
C
y
=
3
√
x
+
3
-
2
B
y
=
3
√
x
-
3
+
2
D
y
=
3
√
x
+
2
-
3
b.
What are the domain and range of the function
shown in the graph? Use set notation.
2
c.
Which statements are true for the function in
the graph? Select all solutions.
2
A
An
x
-intercept is 5.
B
The domain is all real numbers.
C
A point of inflection is (
-
3,
-
2).
D
The graph is the inverse of
E
The graph has a
y
-intercept of
-
1.
40.
Which of the following will have a graph that is
stretched by a factor of 2, translated 4 units right
and 1 unit down?
2
A
y
=
2
3
√
x
+
4
-
1
C
y
=
3
√
2
x
-
4
-
1
B
y
=
2
3
√
x
-
4
-
1
D
y
=
2
3
√
x
-
1
+
4
41.
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 Mercury 88 Earth days to
complete one orbit. To the nearest hundredth, how
many millions of miles is Mercury from the Sun?
2
42.
Write the equation of the inverse of
f
(
x
)
=
x
3
_
3
+
6.
1
43.
Let
f
(
x
)
=
3
√
x
and
g
(
x
)
=
3
3
√
x
+
2
-
5. How do the
domain and range of
f
(
x
) and
g
(
x
) compare?
2
A
They have the same domain and range.
B
They have the same domain, but the graph
of
f
(
x
) has higher
y
-values for each value of
x
.
C
They have the same domain, but the graph
of
g
(
x
) has higher
y
-values for each value of
x
.
D
They have the same range, but the domain
of
f
(
x
) has lower
x
-values for each value of
y
.
44.
Which of the following is the graph of
f
(
x
)
=
1
_
2
x
3
+
4
and its inverse?
1
A
C05_030A_903990
−
8
6
4
2
4 8 12 16
−
4
−
6
8
y
x
O
B
C05_031A_903990
−
4
−
6
−
8
6
4
2
2 4 6 8
−
4
−
6
−
8
8
y
x
O
C
C05_032A_903990
−
4
−
6
−
8
6
4
2
2 4 6 8
−
4
−
6
−
8
8
y
x
O
D
C05_033A_903990
−
4
−
6
−
8
6
4
2
2 4 6 8
−
4
−
6
−
8
8
y
x
O
350
|
Lesson 5-5
|
Graphing Cube Root Functions