2000003106
Level:
A
There is a graph of a linear function in the picture. Find the formula (equation) for this function.
\(y=-x+2\)
\( y=2x+4\)
\( y=-2x+4\)
\(y=-2x+2\)
Linear functions
2000003107
Level:
A
There are three graphs of the linear functions in the picture. Choose the formula (equation) of the function which is not in the picture.
\(y=-2x+2\)
\(y=-x+2\)
\(y=2x\)
\(y=2x+2\)
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.
2010009301
Level:
A
The linear function \(g\)
is graphed in the picture. Find the analytic expression for the function
\(g\).
\(y = \frac{1}
{4}x\)
\(y = -\frac{1}
{4}x\)
\(y = 4x\)
\(y =-4x\)
2010009302
Level:
A
Given the linear function \(f(x) = -5x + 3\),
evaluate \(f(-2) + f(2)\).
\( 6\)
\( -14\)
\( 0\)
\( -20\)
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 \(g\).
\(g(x)= 2x + 8\)
\(g(x)= \frac12 x -4\)
\(g(x)= -\frac74 x + \frac12\)
\(g(x)= 2x -4\)
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.
\(\left[\frac{15}2;0\right]\)
\(\left[-\frac{15}2;0\right]\)
\([0;3]\)
\([13;0]\)
2010009305
Level:
A
Consider the linear function \(f(x) = -3x + 9\).
Find the intersection point of the graph of
\(f\) with
\(y\)-axis.
\([0;9]\)
\([9;0]\)
\([0;3]\)
\([3;0]\)
2010009306
Level:
A
Given the linear function \(f(x) = -2x + 1\),
evaluate
\[
f(a) + f(a-1).
\]
\(- 4a +4\)
\(- 4a +3\)
\(4\)
\(- 4a +2\)
2010016601
Level:
A
Given the linear function \( f(x)=kx+3\), find the value of \( k \) so that \( f(6)= 15 \).
\( k=2 \)
\( k=\frac15 \)
\( k=3 \)
\( k=5 \)