9000005707
Level:
A
Let \(f\) be the linear
function \(f(x) = -x + 4\) restricted
to the interval \(x\in [ - 3;2] \).
Find the range of \(f\).
\([ 2;7] \)
\([ 1;6] \)
\([ - 3;3] \)
\([ - 1;2] \)
Linear functions
9000005710
Level:
A
Consider the linear function \(f(x) = 4x + 4\).
Find the intersection point of the graph of
\(f\) with
\(y\)-axis.
\([0;4]\)
\([-1;0]\)
\([-4;0]\)
\([0;0]\)
9000005802
Level:
A
Given the linear function \(f(x) = -\frac{1}
{4}x + 4\),
evaluate
\[
f(2a)\cdot f(-2a).
\]
\(16 -\frac{a^{2}}
{4} \)
\(0\)
\(4 - a^{2}\)
\(- 4 + a^{2}\)
9000005801
Level:
A
Given the linear function \(f(x) = -3x + 1\),
evaluate
\[
f(a) + f(1 - a).
\]
\(- 1\)
\(- 3a\)
\(- 6a - 3\)
\(- 2\)
9000005808
Level:
C
Consider the linear functions \(f(x) = x\),
\(g(x) = -x\) and
\(h(x)= 3\).
Consider also a triangle which is formed by the graphs of these three functions. Find
the area of this triangle.
\(9\)
\(3\)
\(5\)
\(7\)
9000004210
Level:
A
The function \(g\) is
graphed in the picture. Find \(g(0)\).
\(0\)
\(3\)
\(- 2\)
\(1\)
9000005705
Level:
A
Let \(f(x) = -\frac{1}
{2}x + a\). Which value of
the real parameter \(a\) in the
definition of the function \(f\)
guarantees \(f(2) = 2\)?
\(3\)
\(1\)
\(- 4\)
\(5\)
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
\(f\)?
\(3\)
\(1\)
\(2\)
\(4\)
9000005803
Level:
A
Identify an analytic expression of a linear function
\(f\) which
satisfies \(f(-2) = 5\)
and \(f(4) = 2\).
\(f\colon y = -\frac{1}
{2}x + 4\)
\(f\colon y = x - 2\)
\(f\colon y = -x + 6\)
\(f\colon y = -2x + 1\)
9000005806
Level:
B
Consider the linear function \(f(x) = -x + 2\).
Identify a linear function \(g\)
such that the graphs of \(f\)
and \(g\) are symmetric
about the line \(y = x\).
\(g(x) = -x + 2\)
\(g(x)= -x - 2\)
\(g(x)= x - 2\)
\(g(x) = x + 2\)