2010016608
Level:
A
Given the function \(f(x) = 3x -4\), where \(x\in ( -4;3] \), determine the monotonicity of \(f\).
increasing
decreasing
constant
nonincreasing
A
2010016607
Level:
A
Given the function \(f(x) = -2x +3\), where \(x\in (-3 ;4] \), determine the monotonicity of \(f\).
decreasing
increasing
constant
nondecreasing
2010016606
Level:
A
Consider the function \(f(x) = -2x - 6\),
\(x\in (-\infty ;2] \). Find the range of \(f\).
\( [ -10; \infty) \)
\( (-\infty;-10)\)
\( (-\infty;-10 ] \)
\( (-10;\infty)\)
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 \( f(6)= 15 \).
\( k=2 \)
\( k=\frac15 \)
\( k=3 \)
\( k=5 \)
2010016010
Level:
A
Given the function \(f(x)=\log_2(x+4)\), evaluate \(f(4)\cdot f(12)\).
\(12\)
\(48\)
\(128\)
\(4\)
2010016009
Level:
A
Given the function \(f(x)=\log_2(x^2+4)\), evaluate \(f(2)\cdot f(0)\).
\(6\)
\(32\)
\(0\)
\(24\)