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Preparing for Assessment
54a.
Which function is represented by the graph?
1
A
f(x
)
=
2
√
x
+
1
+
3
B
f(x
)
=
2
√
x
-
1
+
3
C
f(x
)
=
2
√
x
+
1
-
3
D
f(x
)
=
2
√
x
-
1
-
3
b.
What are the domain and range of the function
shown in the graph? Use set notation.
2
c.
Which of the following statements are true?
Select all true solutions.
2
A
An
x
-intercept is 1.
B
The domain is all real numbers.
C
The range is all real numbers.
D
The graph is of the inverse of
f
(
x
)
=
(
x
-
1)
2
_
4
+
3.
E
The graph has a
y
-intercept of
-
1.
55a.
What is the domain of the function?
2
f
(
x
)
=
3
√
x
-
6
-
2
A
{
x
|
x
≥ -
6}
B
{
x
|
x
≥ -
2}
C
{
x
|
x
≥
2}
D
{
x
|
x
≥
6}
b.
What is the range of the function? Use set
notation.
1, 6
f
(
x
)
=
3
√
x
-
6
-
2
56.
What is the range of the function?
2
f(x
)
= -
4
√
x
-
5
+
3
A
{
f(x
)
|
f(x
)
≤ -
12}
B
{
f(x
)
|
f(x
)
≥ -
12}
C
{
f(x
)
|
f(x
)
≤
3}
D
{
f
(
x
)
|
f(x
)
≥
3}
57.
Let
f
(
x
)
=
√
x
-
3
+
1 and
g
(
x
)
=
4
f
(
x
). 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 lower
y
-values for each value of
x
than
g
(
x
) does.
C
They have the same domain, but the graph
of
g
(
x
) has lower
y
-values for each value of
x
than
f
(
x
) does.
D
They have the same range, but the domain
of
f
(
x
) has lower
x
-values for each value of
y
than
g
(
x
) does.
E
They have the same range, but the domain
of
g
(
x
) has lower
x
-values for each value of
y
than
f
(
x
) does.
58.
Which of the following is the graph of
f
(
x
)
=
1
_
2
x
2
-
4
and its inverse?
1
A
B
C
D
59.
For which value(s) of
x
would
f
(
x
)
=
√
2
x
-
4be
undefined? Select all solutions.
2
A
x
= -
4
C
x
=
2
B
x
=
0
D
x
=
4
60.
Write the equation of a square root function that
has been vertically stretched by a factor of 5,
translated 3 units to the left, and translated 2 units
up from the parent function,
f
(
x
)
=
√
x
.
2
C06_107A_139256
x
O
y
C05_013A_903990
108642
16 14 12
10
12
8
6
4
2
−
4
−
6
y
x
O
C05_014A_903990
10
10
y
x
O
8642
16 14 12
12
8
6
4
2
C05_015A_903990
10
10
y
x
O
8642
16 14 12
12
8
6
4
2
C05_016A_903990
108642
16 14 12
10
12
8
6
4
2
−
4
−
6
y
x
O
344
|
Lesson 5-4
|
Graphing Square Root Functions