2010009203
Level:
B
Function \( f \) is given by the graph. Identify which of the following statements is true.
\( f(x)=2|x|+x;\ x\in [ -3;2 ] \)
\( f(x)=2|x|-x;\ x\in [ -3;2 ] \)
\( f(x)=-x-2|x|;\ x\in [ -3;2 ] \)
\( f(x)=x-2|x|;\ x\in [ -3;2 ] \)
Linear functions with absolute values
2010009202
Level:
B
Which of the following functions is bounded?
\( f(x)=|3+x|-|x| \)
\( g(x)=|3+x|+|x| \)
\( h(x)=|x-3|+|x| \)
\( m(x)=3-|x| \)
2010009201
Level:
C
Let \( f(x)=|4-3|x| | +|2x|\). Identify which of the following function values is the biggest.
\( f(3) \)
\( f(-2) \)
\( f(0) \)
\( f(-1) \)
2110009103
Level:
A
Identify a possible graph of the function
\(f(x)= |x| +\sqrt5\).
2110009102
Level:
A
Identify a possible graph of the function
\(f(x)= -|x-2| \).
2110009101
Level:
A
Identify a possible graph of the function
\(f(x)=2 -|x| \).
2000003903
Level:
A
Determine for which values of the real parameters \(a\) and \(b\) is the graph in the picture the graph of the function \(f(x)=|x-a|+b\); \(x \in [ -3;4]\).
\( a=2\); \(b=1\)
\( a=1\); \(b=2\)
\( a=-2\); \(b=1\)
\( a=2\); \(b=-1\)
2000003902
Level:
A
Determine for which values of the real parameter \(b\) is the graph in the picture the graph of the function \(f(x)=|x-1|-b\); \(x \in [ -3;3]\).
\( b=-2\)
\( b=2\)
\( b=-1\)
\( b=1\)
2000003901
Level:
A
Determine for which values of the real parameter \(a\) is the graph in the picture the graph of the function \(f(x)=|x+a|-3\); \(x \in [ -3;3]\).
\(a=2\)
\(a=-2\)
\(a=1\)
\(a=-1\)
2100002005
Level:
C
Identify a possible graph of the function \(f(x) = \left| \frac{1}{x-1} +1\right|\).
