9000008005
Level:
A
Given the function \(f(x)= -\frac{10}
{x} \),
evaluate \(f(-5)\cdot f(2)\).
\(- 10\)
\(2.5\)
\(1\)
\(2.5\)
A
9000008009
Level:
A
Given the function \(f(x) = \frac{5}
{x}\),
find the function \(g\) such
that the graphs of \(f\)
and \(g\) are symmetric
about the line \(y = x\).
\(g(x) = \frac{5}
{x}\)
\(g(x) = \frac{1}
{x}\)
\(g(x)= -\frac{2}
{x}\)
\(g(x) = -\frac{5}
{x}\)
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 \(f(-4)\).
\(2\)
\(- 4\)
\(4\)
\(32\)
9000008006
Level:
A
Given the functions \(f(x) = \frac{2}
{x}\)
and \(g(x) = \frac{4}
{x}\),
identify a true statement.
\(f(2) = g(4)\)
\(f\left (\frac{1}
{2}\right ) = g(2)\)
\(f(1) > g(2)\)
\(f(4) < g(10)\)
9000008007
Level:
A
Given the functions \(f(x) = -\frac{3}
{x}\)
and \(g(x) = 6\),
solve \(f(x) = g(x)\).
\(-\frac{1}
{2}\)
\(- 2\)
\(3\)
\(6\)
9000007205
Level:
A
Given the linear function
\[
f(x) = -3x + 2
\]
solve the inequality \(f(x)\geq 1\).
\(x\leq \frac{1}
{3}\)
\(x\geq \frac{1}
{3}\)
\(x\leq \frac{2}
{3}\)
\(x\geq 2\)
9000007204
Level:
A
Among the following functions identify an odd function
\(f\) which
satisfies \(f(-2) = 4\).
\(f(x) = -2x\)
\(f(x) = -2x + 1\)
\(f(x) = x + 2\)
\(f(x) = 2x + 8\)
9000005708
Level:
A
Consider the linear function \(f(x)= -5x + 4\)
and points \(A = [1;-1]\),
\(B = [-2;-14]\),
\(C = [3;-11]\),
\(D = [-4;24]\).
How many of these points lies on the graph of the function
\(f\)?
\(3\)
\(1\)
\(2\)
\(4\)