9000013501
Level:
B
Write the expression \(2^{\frac{3}
{4} }\)
in an equivalent form which does not contain a rational exponent.
\(\root{4}\of{2^{3}}\)
\(\root{4}\of{2}\)
\(\root{3}\of{2^{4}}\)
\(\root{4}\of{3^{2}}\)
B
9000013504
Level:
B
Simplify \(\sqrt{\root{4}\of{25}}\).
\(\root{4}\of{5}\)
\(\root{8}\of{5}\)
\(\root{4}\of{25}\)
\(\sqrt{5}\)
9000007506
Level:
B
The graph of the function
\[
f(x) = \frac{3x - 4}
{x + 2}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [-2,3]\)
\(S = [3,2]\)
\(S = [0,-4]\)
\(S = [0,4]\)
\(S = [4,-2]\)
9000007507
Level:
B
The graph of the function
\[
f(x) = \frac{2x - 4}
{3x + 2}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = \left [-\frac{2}
{3}, \frac{2}
{3}\right ]\)
\(S = \left [-\frac{3}
{2}, \frac{2}
{3}\right ]\)
\(S = \left [\frac{2}
{3},-\frac{3}
{2}\right ]\)
\(S = \left [-\frac{2}
{3},-\frac{2}
{3}\right ]\)
\(S = \left [\frac{3}
{2}, \frac{3}
{2}\right ]\)
9000007508
Level:
B
The graph of the function
\[
f(x) = \frac{2x + 1}
{x + 2}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [-2,2]\)
\(S = [2,-2]\)
\(S = [2,2]\)
\(S = [-2,-2]\)
\(S = [-2,3]\)
9000007509
Level:
B
The graph of the function
\[
f(x) = \frac{2x + 3}
{2 - x}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [2,-2]\)
\(S = [-2,2]\)
\(S = [2,2]\)
\(S ={\Bigl [ 2, \frac{3}
{2}\Bigr ]}\)
\(S ={\Bigl [ 2,-\frac{3}
{2}\Bigr ]}\)
9000007510
Level:
B
The graph of the function
\[
f(x) = \frac{-x + 1}
{1 + 3x}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = \left [-\frac{1}
{3},-\frac{1}
{3}\right ]\)
\(S = \left [\frac{1}
{3}, \frac{1}
{3}\right ]\)
\(S = \left [1,-\frac{1}
{3}\right ]\)
\(S = \left [-1,-\frac{1}
{3}\right ]\)
\(S = \left [-\frac{1}
{3}, \frac{1}
{3}\right ]\)
9000007601
Level:
B
Find the domain of the function \(f(x) = 1 + \frac{3}
{x+2}\).
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{1,2\}\)
\(\mathbb{R}\setminus \{ - 2,1\}\)
\(\mathbb{R}\)
9000007602
Level:
B
Find the domain of the function \(f(x) = 2 - \frac{3}
{x-2}\).
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{ - 2,2\}\)
\(\mathbb{R}\setminus \{ - 3\}\)
\(\mathbb{R}\)
9000007606
Level:
B
Find the range of the function \(f(x) = 1 + \frac{3}
{x+2}\).
\(\mathbb{R}\setminus \{1\}\)
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{ - 2,1\}\)
\([ 0,\infty )\)
\(\mathbb{R}\)