9000002905
Level:
B
Find the range of the function \(f(x)= \frac{1}
{x-2} + 1\).
\((-\infty ;1)\cup (1;\infty )\)
\(\mathbb{R}\)
\((-\infty ;2)\cup (2;\infty )\)
\((-\infty ;-1)\cup (-1;\infty )\)
Rational functions
9000003106
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{2}
{x+1}\)
\(y = \frac{1}
{x+2}\)
\(y = - \frac{1}
{x+2}\)
\(y = \frac{1}
{x-1}\)
9000002910
Level:
A
Consider a rectangle with area of
\(5\, \mathrm{cm}^{2}\). Find the formula which relates side \(a\) to the side \(b\) of this rectangle.
\(b = \frac{5}
{a}\),
\(a\in (0;\infty )\)
\(b = 5a\),
\(a\in (0;\infty )\)
\(b = \frac{10}
{a} \),
\(a\in (0;\infty )\)
\(b = \frac{25}
{a} \),
\(a\in (0;\infty )\)
9000003107
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x-1}\)
\(y = -2 + \frac{1}
{x-1}\)
9000003108
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 - \frac{1}
{x-1}\)
\(y = -1 - \frac{1}
{x-2}\)
\(y = -2 + \frac{1}
{x-1}\)
\(y = 1 - \frac{1}
{x-2}\)
9000002901
Level:
B
Find the domain of the function \(f\colon y = \frac{1}
{x-2} + 1\).
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{ - 1\}\)
\(\mathbb{R}\setminus \{0\}\)
\(\mathbb{R}\)
9000002903
Level:
B
In the following list identify a point which is on the graph of the function
\(f(x) = \frac{3}
{x} - 5\).
\(A = \left [-6;-\frac{11}
{2} \right ]\)
\(A = \left [-1;-2\right ]\)
\(A = \left [-3;-\frac{5}
{2}\right ]\)
\(A = \left [\frac{1}
{2};-1\right ]\)
9100003207
Level:
B
Identify a possible graph of the function
\(f(x)= 2 + \frac{1}
{x+1}\).
9100003208
Level:
B
Identify a possible graph of the function
\(f(x) = 2 - \frac{1}
{x-1}\).
9100003209
Level:
B
Identify a possible graph of the function
\(f(x) = -2 + \frac{1}
{x+1}\).
