9000007501
Level:
B
The graph of the function
\[
f(x) = 1 + \frac{3}
{x + 2}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [-2;1]\)
\(S = [3;1]\)
\(S = [1;3]\)
\(S = [1;-2]\)
\(S = [-2;3]\)
B
9000007502
Level:
B
The graph of the function
\[
f(x) = 2 - \frac{3}
{x - 2}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [2;2]\)
\(S = [-2;2]\)
\(S = [2;3]\)
\(S = [-2;3]\)
\(S = [2;0]\)
9000007503
Level:
B
The graph of the function
\[
f(x) = 1 + \frac{1}
{2(x - 2)}
\]
is a hyperbola. Find the center of this hyperbola.
\(S = [2;1]\)
\(S = [1;1]\)
\(S = [1;2]\)
\(S = [-1;1]\)
\(S = [2;2]\)
9000007602
Level:
B
Find the domain of the function \(f(x) = 2 - \frac{3}
{x-2}\).
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{ - 2;2\}\)
\(\mathbb{R}\setminus \{ - 3\}\)
\(\mathbb{R}\)
9000007702
Level:
B
Identify a correct statement which concerns the function
\(f(x) = \frac{1}
{-x+2}\).
None of the statements above is true.
The function \(f\)
is an increasing function.
The function \(f\)
is bounded below.
The function \(f\)
has a maximum at \(x = 2\).
The function \(f\)
is decreasing on \((2;\infty )\).
9000007108
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([3;3]\)
\([3;2]\)
\([3;4]\)
\([3;9]\)
9000007109
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([2;3]\)
\([2;2]\)
\([2;4]\)
\([2;5]\)
9000004808
Level:
B
In the following list identify a function which is bounded below.
\(y = 3^{x}\)
\(y = -3^{x}\)
\(y =\log _{3}x\)
\(y = -\log _{3}x\)
9000004802
Level:
B
In the following list identify an even function.
\(f(x)= |x|\)
\(f(x) = |x + 1|\)
\(f(x) = x + 1\)
\(f(x) = x\)
9000004809
Level:
B
In the following list identify a function which is bounded above.
\(f(x) = -(x - 2)^{2}\)
\(f(x) = x^{2}\)
\(f(x) = x^{2} - 3x\)
\(f(x) = (x - 3)^{2}\)