2100006703
Level:
A
Identify which of the given graphs is the graph of the function \(f(x)=\frac{2}{5x}\).
Rational functions
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.
\(b = \frac{5}
{a}\),
\(a\in (0;\infty )\)
\(b = 5a\),
\(a\in (0;\infty )\)
\(b = \frac{10}
{a} \),
\(a\in (0;\infty )\)
\(b = \frac{25}
{a} \),
\(a\in (0;\infty )\)
9000003101
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{1}
{2x}\)
\(y = \frac{2}
{x}\)
\(y = -\frac{2}
{x}\)
\(y = -\frac{1}
{2x}\)
9000003102
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y = -\frac{2}
{x}\)
\(y = \frac{2}
{x}\)
\(y = \frac{1}
{2x}\)
\(y = -\frac{1}
{2x}\)
9000008001
Level:
A
Consider the function \(f(x)= -\frac{4}
{x}\)
and the points \(A = [1;-4]\),
\(B = [-2;2]\),
\(C = [4;1]\),
\(D = [2;2]\).
How many of these points are on the graph of the function
\(f\)?
\(2\)
\(1\)
\(3\)
\(4\)
9000008002
Level:
A
Consider the point \(A = [-1;-3]\) and
the function \(f(x) = \frac{k}
{x}\) with a nonzero
real parameter \(k\in \mathbb{R}\setminus \{0\}\). Identify
the value of the parameter \(k\)
which ensures that the point \(A\)
is on the graph of \(f\).
\(3\)
\(1\)
\(- 1\)
\(- 3\)
9000008003
Level:
A
Given the function \(f(x) = \frac{6}
{x}\),
solve the following equation.
\[
f(x) = 2
\]
\(3\)
\(2\)
\(- 2\)
\(- 3\)
9000008004
Level:
A
Given the function \(f(x) = -\frac{8}
{x}\),
evaluate \(f(-4)\).
\(2\)
\(- 4\)
\(4\)
\(32\)
9000008005
Level:
A
Given the function \(f(x)= -\frac{10}
{x} \),
evaluate \(f(-5)\cdot f(2)\).
\(- 10\)
\(2.5\)
\(1\)
\(2.5\)
9000008006
Level:
A
Given the functions \(f(x) = \frac{2}
{x}\)
and \(g(x) = \frac{4}
{x}\),
identify a true statement.
\(f(2) = g(4)\)
\(f\left (\frac{1}
{2}\right ) = g(2)\)
\(f(1) > g(2)\)
\(f(4) < g(10)\)