1003019302
Level:
A
Which of the following functions has minimum at \( x=3 \)?
\( f(x)=2|x-3|+1 \)
\( h(x)=2|x+3|-1 \)
\( g(x)=-2|x-3|+3 \)
\( m(x)=2|x+3| \)
Linear Functions with Absolute Values
2000003901
Level:
A
Determine for which values of the real parameter \(a\) is the graph in the picture the graph of the function \(f(x)=|x+a|-3\); \(x \in [ -3;3]\).
\(a=2\)
\(a=-2\)
\(a=1\)
\(a=-1\)
2000003902
Level:
A
Determine for which values of the real parameter \(b\) is the graph in the picture the graph of the function \(f(x)=|x-1|-b\); \(x \in [ -3;3]\).
\( b=-2\)
\( b=2\)
\( b=-1\)
\( b=1\)
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 \(f(x)=|x-a|+b\); \(x \in [ -3;4]\).
\( a=2\); \(b=1\)
\( a=1\); \(b=2\)
\( a=-2\); \(b=1\)
\( a=2\); \(b=-1\)
2010009205
Level:
A
Identify the value of a real parameter \(a\) such that the graph of the function
\[
f(x) =3- |x - a|
\]
corresponds to the picture.
\( -2 \)
\( 2 \)
\( 1\)
\( 3 \)
2010009206
Level:
A
Identify the values of real parameters \(a\)
and \(b\)
such that the graph of the function
\[
f(x)= |x + a| + b
\]
corresponds to the picture.
\(\ \ a = -1,\ b = 2\)
\(\ \ a = 1,\ b = 2\)
\(\ \ a = -1,\ b = -2\)
\(\ \ a = 1,\ b = -2\)
2100021008
Level:
A
Which of the graphs is the graph of the following function?
\[f(x)=|x+2|+|2x+1|-|x-3|;\quad x\in[-4;1]\]
2110009101
Level:
A
Identify a possible graph of the function
\(f(x)=2 -|x| \).
2110009102
Level:
A
Identify a possible graph of the function
\(f(x)= -|x-2| \).
2110009103
Level:
A
Identify a possible graph of the function
\(f(x)= |x| +\sqrt5\).
