2010016606
Level:
A
Consider the function \(f(x) = -2x - 6\),
\(x\in (-\infty ;2] \). Find the range of \(f\).
\( [ -10; \infty) \)
\( (-\infty;-10)\)
\( (-\infty;-10 ] \)
\( (-10;\infty)\)
Linear functions
2010016605
Level:
A
Choose the formula of the function whose graph is shown in the picture.
\( f(x)=x+1;\ x\in [ -2;3)\)
\( f(x)=x+1;\ x\in ( -2;3]\)
\( f(x)=-x+1;\ x\in [ -2;3)\)
\( f(x)=x-1;\ x\in [ -2;3)\)
2010016604
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.
There is no graph of the linear function in the picture.
\( y=-2\)
\( x=-2\)
\( y=2x\)
2110016603
Level:
A
Consider the linear function \( f(x)=3x-6 \). Which of the given graphs is the graph of \( f \)?
2010016602
Level:
A
Consider the linear function \( f(x) = 2x +7 \). Give the input value for \( f \) such that the output value of \( f \) is \( -9 \).
\( -8\)
\( -11\)
\( -1 \)
\( 25 \)
2010016601
Level:
A
Given the linear function \( f(x)=kx+3\), find the value of \( k \) so that \( f(6)= 15 \).
\( k=2 \)
\( k=\frac15 \)
\( k=3 \)
\( k=5 \)
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 \(g\).
\(g(x)= 2x + 8\)
\(g(x)= \frac12 x -4\)
\(g(x)= -\frac74 x + \frac12\)
\(g(x)= 2x -4\)