9000007802
Level:
A
Consider linear functions \(f(x) = ax - 2\)
and \(g\colon y = -4x + 3\). Find the value of
the real parameter \(a\) which
ensure that the graphs of \(f\)
and \(g\)
are two parallel lines.
\(- 4\)
\(4\)
\(- 2\)
\(2\)
A
9000007804
Level:
A
Three of the points \(A = [2;-4]\),
\(B = [0;-3]\),
\(C = [-2;-1]\),
\(D = [-4;1]\) lie on
the graph of the same linear function. Identify these points. (Colinear points.)
\(B\),
\(C\),
\(D\)
\(A\),
\(B\),
\(C\)
\(A\),
\(B\),
\(D\)
\(A\),
\(C\),
\(D\)
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
\(f\)?
\(2\)
\(1\)
\(3\)
\(4\)
9000007206
Level:
A
Consider the linear system:
\[
\begin{aligned}2x - 3y - 12& = 0,&
\\\text{???}\quad & = 0.
\\ \end{aligned}
\]
In the following list, identify the missing second equation if you know that the system
does not have a solution.
\(- 6x + 9y - 9 = 0\)
\(2x + 3y - 6 = 0\)
\(- 4x + 6y + 24 = 0\)
\(x + 2y - 12 = 0\)
9000008010
Level:
A
Given the function
\(f\colon y = -\frac{3}
{x}\).
find the function \(g\) such
that the
graphs of \(f\)
and \(g\) are
symmetric
about the \(x\)-axis.
\(g(x) = \frac{3}
{x}\)
\(g(x) = -\frac{3}
{x}\)
\(g(x)= -\frac{1}
{x}\)
\(g(x) = \frac{2}
{x}\)
9000008005
Level:
A
Given the function \(f(x)= -\frac{10}
{x} \),
evaluate \(f(-5)\cdot f(2)\).
\(- 10\)
\(2.5\)
\(1\)
\(2.5\)
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 \(f(-4)\).
\(2\)
\(- 4\)
\(4\)
\(32\)