2010016601
Level:
A
Given the linear function \( f(x)=kx+3\), find the value of \( k \) so that \( f(6)= 15 \).
\( k=2 \)
\( k=\frac15 \)
\( k=3 \)
\( k=5 \)
Linear functions
2010009306
Level:
A
Given the linear function \(f(x) = -2x + 1\),
evaluate
\[
f(a) + f(a-1).
\]
\(- 4a +4\)
\(- 4a +3\)
\(4\)
\(- 4a +2\)
2010009305
Level:
A
Consider the linear function \(f(x) = -3x + 9\).
Find the intersection point of the graph of
\(f\) with
\(y\)-axis.
\([0;9]\)
\([9;0]\)
\([0;3]\)
\([3;0]\)
2010009304
Level:
A
Consider the linear function \(f(x)= -\frac{2}
{5}x + 3\).
Find the intersection point of the graph of
\(f\) with
\(x\)-axis.
\(\left[\frac{15}2;0\right]\)
\(\left[-\frac{15}2;0\right]\)
\([0;3]\)
\([13;0]\)
2010009303
Level:
A
Let the function \(g\)
be defined as a linear function with graph passing through the points
\(A = [-3;2]\) and
\(B = [-2;4]\). Find an analytic
expression for the function \(g\).
\(g(x)= 2x + 8\)
\(g(x)= \frac12 x -4\)
\(g(x)= -\frac74 x + \frac12\)
\(g(x)= 2x -4\)
2010009302
Level:
A
Given the linear function \(f(x) = -5x + 3\),
evaluate \(f(-2) + f(2)\).
\( 6\)
\( -14\)
\( 0\)
\( -20\)
2010009301
Level:
A
The linear function \(g\)
is graphed in the picture. Find the analytic expression for the function
\(g\).
\(y = \frac{1}
{4}x\)
\(y = -\frac{1}
{4}x\)
\(y = 4x\)
\(y =-4x\)
2000003110
Level:
C
Consider functions \(f(x)=-2x+3\) and \(g(x)=3x-2\). What is the value of \(f(g(f(-2)))\)?
\(-35\)
\(13\)
\(-1\)
\(-8\)
2000003109
Level:
C
In the morning at \(7\,\mathrm{a.m.}\) we measured \(3^\circ\mathrm{C}\), at \(10\,\mathrm{a.m.}\) we measured \(12^\circ \mathrm{C}\). How many degrees was at \(9\,\mathrm{a.m.}\), if we assume that the temperature rose linearly?
\(9^\circ\mathrm{C}\)
\(10^\circ\mathrm{C}\)
\(8^\circ\mathrm{C}\)
\(6^\circ\mathrm{C}\)
2000003108
Level:
A
There is a graph of a function \(f\) in the picture. The function \(f\) is restriction of a linear function such that the domain of \(f\) is \([ -2;\infty)\). What are properties of \(f\)?
The function \(f\) is bounded above, injective (one-to-one) and decreasing.
The function \(f\) has maximum and minimum, is decreasing and bounded.
The function \(f\) is odd, decreasing and has maximum.
The function \(f\) does not have minimum, is even and bounded above.