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 \( -9 \).
\( -8\)
\( -11\)
\( -1 \)
\( 25 \)
Linear functions
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.
\( y=-2\)
\( x=-2\)
\( y=2x\)
2010016605
Level:
A
Choose the formula of the function whose graph is shown in the picture.
\( f(x)=x+1;\ x\in [ -2;3)\)
\( f(x)=x+1;\ x\in ( -2;3]\)
\( f(x)=-x+1;\ x\in [ -2;3)\)
\( f(x)=x-1;\ x\in [ -2;3)\)
2010016606
Level:
A
Consider the function \(f(x) = -2x - 6\),
\(x\in (-\infty ;2] \). Find the range of \(f\).
\( [ -10; \infty) \)
\( (-\infty;-10)\)
\( (-\infty;-10 ] \)
\( (-10;\infty)\)
2010016607
Level:
A
Given the function \(f(x) = -2x +3\), where \(x\in (-3 ;4] \), determine the monotonicity of \(f\).
decreasing
increasing
constant
nondecreasing
2010016608
Level:
A
Given the function \(f(x) = 3x -4\), where \(x\in ( -4;3] \), determine the monotonicity of \(f\).
increasing
decreasing
constant
nonincreasing
2010016609
Level:
A
Given the function \(f(x) = 3x - 15\),
\(x\in \mathbb{R}\), find the
\(x\)-intercept.
\(x = 5\)
\(x = -5\)
\(x = \frac15\)
\(x = -\frac15\)
2010016610
Level:
A
Given the function \(f(x) = -2x - 10\),
\(x\in (-\infty ;3] \),
solve
\[
f(x) = -8.
\]
\(x = -1\)
\(x = 6\)
\(x = -26\)
\(x = 9\)
2010016611
Level:
A
The range of the function \(g\) graphed in the picture is \([ -1;\infty)\). Find the domain of \(g\).
\([ -5;\infty)\)
\(\mathbb{R}\)
\([ -1;\infty)\)
\((-5;\infty)\)
2100000801
Level:
A
Consider \(f(x)= -x+3 \) a linear function. Which of the given graphs is the graph of \(f\)?
