1003171101
Level:
A
Given the linear function \( f(x)=kx-4 \), find the value of \( k \) so that \( f(2)= 2 \).
\( k=3 \)
\( k=4 \)
\( k=2 \)
\( k=-2 \)
Linear functions
1003171102
Level:
A
Consider the linear function \( f(x) = -4x +3 \). Give the input value for \( f \) such that the output value of \( f \) is \( -9 \).
\( 3 \)
\( -3 \)
\( 39 \)
\( -33 \)
1103171103
Level:
A
Consider the linear function \( f(x)=-2x+4 \). Which of the given graphs is the graph of \( f \)?
1103171403
Level:
A
Determine whether the line drawn in the picture is the graph of a linear function of the variable \(x\). If so, find the formula for the function.
It is not the graph of a linear function in the picture.
\( y=5 \)
\( x=5 \)
\( y=5x \)
1103171405
Level:
A
Choose the true statement.
The given points do not lay on the graph of a linear function.
The given points lay on the graph of the linear function \( f(x)=-x+3 \).
The given points lay on the graph of the linear function \( f(x)=-x+3.5 \).
The given points lay on the graph of the linear function \( f(x)=x+3 \).
1103171406
Level:
A
Choose the formula of the function whose graph is shown in the picture.
\( f(x)=-\frac54x-\frac74;\ x\in(-3;1] \)
\( f(x)=-\frac54x-\frac74;\ x\in[-3;2) \)
\( f(x)=\frac54x-\frac{17}4;\ x\in(-3;1] \)
\( f(x)=-\frac54x+\frac74;\ x\in(-3;1] \)
2000000802
Level:
A
For a linear function \(f\) is given \(f(0)=4\) and \(f(2)=0\). Find the corresponding function \(f\).
\(f(x)=-2x+4\)
\(f(x)=2x+4\)
\(f(x)=4x+2\)
\(f(x)=2x-4\)
2000000803
Level:
A
For a linear function \(f\) is given \(f(2)=4\) and \(f(1)=0\). Find the intersection point \(P\) of the graph of \(f\) with the \(y\)-axis.
\(P=[0;-4]\)
\(P=[-4;0]\)
\(P=[0;1]\)
\(P=[1;0]\)
2000000804
Level:
A
Given \(f(x)=2x+1\) and \(g(x)=x+5\), find the point \(P\) at which graphs \(f\) and \(g\) intersect.
\(P=[4;9]\)
\(P=[2;5]\)
\(P=[9;-4]\)
\(P=[9;4]\)
2000000805
Level:
A
Determine the coefficient \(k\) so that the graph of the function \(f(x)=kx+2\) passes through the point \(A=[-2;6]\).
\(k=-2\)
\(k=\frac{2}{3}\)
\(k=2\)
\(k=-4\)