9000007606
Level:
B
Find the range of the function \(f(x) = 1 + \frac{3}
{x+2}\).
\(\mathbb{R}\setminus \{1\}\)
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{ - 2;1\}\)
\([ 0;\infty )\)
\(\mathbb{R}\)
Rational Functions
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 \((2;\infty )\).
9000007607
Level:
B
Find the range of the function \(f(x) = 2 - \frac{3}
{x-2}\).
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{ - 2\}\)
\(\mathbb{R}\setminus \{ - 2;3\}\)
\((0;\infty )\)
\(\mathbb{R}\)
9000007709
Level:
B
Identify a correct statement which concerns the function
\(f(x) = -\frac{5}
{x} - 3\).
None of the statements above is true.
The function \(f\)
is bounded above.
The function \(f\)
is an even function.
The function \(f\) is a
decreasing function on \((0;\infty )\).
The function \(f\)
is an odd function.
9000003102
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y = -\frac{2}
{x}\)
\(y = \frac{2}
{x}\)
\(y = \frac{1}
{2x}\)
\(y = -\frac{1}
{2x}\)
9000003103
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = 1 -\frac{2}
{x}\)
\(y = -1 + \frac{2}
{x}\)
\(y = 1 + \frac{2}
{x}\)
\(y = -1 -\frac{2}
{x}\)
9000003104
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 -\frac{1}
{x}\)
\(y = 2 + \frac{1}
{x}\)
\(y = -2 + \frac{1}
{x}\)
\(y = 2 -\frac{1}
{x}\)
9000003105
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{1}
{x-2}\)
\(y = - \frac{1}
{x-2}\)
\(y = - \frac{1}
{x+2}\)
\(y = \frac{1}
{x+2}\)
9000002904
Level:
B
Let by \(X\) and \(Y\) denote the intersection points of the graph of the function \(f(x) = - \frac{1}
{x-1} + 1 \)
with \(x\) and \(y\)-axis, respectively. Find coordinates of \(X\) and \(Y\).
\(X = [2;0]\),
\(Y = [0;2]\)
\(X = [1;0]\),
\(Y = [0;1]\)
\(X = [0;2]\),
\(Y = [2;0]\)
\(X = Y = [0;0]\)
9000003109
Level:
B
Identify the function that is graphed in the picture.
\(f(x) = \frac{x+3}
{x+2}\)
\(f(x) = \frac{x+2}
{x+1}\)
\(f(x) = \frac{x-2}
{x+1}\)
\(f(x) = -\frac{x+3}
{x+2}\)