Linear functions with absolute values

1103072504

Level:

Function \( f \) is given by the graph. Identify which of the following statements is false.

\( f(x)=|x-1|-|2x|;\ x\in[-4;4] \)

\( f(x)=|2x|-|x-1|;\ x\in[-4;4] \)

\( f(x)=|2x|-|1-x|;\ x\in[-4;4] \)

\( f(x)=2|x|-|x-1|;\ x\in[-4;4] \)

1103072503

Level:

Function \( f \) is given by the graph. Identify which of the following statements is true.

\( f(x)=|x|-|x-2|;\ x\in[-4;4] \)

\( f(x)=|x|-|x+2|;\ x\in[-4;4] \)

\( f(x)=|x+2|-|x|;\ x\in[-4;4] \)

\( f(x)=|x-2|-|x|;\ x\in[-4;4] \)

1103072502

Level:

Function \( f \) is given by the graph. Identify which of the following statements is true.

\( f(x)=|x+1|-x;\ x\in[-4;4] \)

\( f(x)=|x|-x+1;\ x\in[-4;4] \)

\( f(x)=x-|x+1|;\ x\in[-4;4] \)

\( f(x)=x-|x|+1;\ x\in[-4;4] \)

1103072501

Level:

Function \( f \) is given by the graph. Identify which of the following statements is true.

\( f(x)=x-|x|;\ x\in[-4;4] \)

\( f(x)=x+|x|;\ x\in[-4;4] \)

\( f(x)=|x|-x;\ x\in[-4;4] \)

\( f(x)=-x-|x|;\ x\in[-4;4] \)

1003019303

Level:

Let \( f(x)=|2-x|+|x+1| \). Identify which of the statements is correct.

Function \( f \) has minimum at \( x=-1 \) and at \( x=2 \).

Function \( f \) has minimum at \( x=-1 \) and maximum at \( x=2 \).

Function \( f \) has maximum at \( x=-1 \) and at \( x=2 \).

Function \( f \) has minimum at \( x=3 \).

1003019302

Level:

Which of the following functions has minimum at \( x=3 \)?

\( f(x)=2|x-3|+1 \)

\( h(x)=2|x+3|-1 \)

\( g(x)=-2|x-3|+3 \)

\( m(x)=2|x+3| \)

9000024404

Level:

Identify the value of a real parameter \(b\) such that the graph of the function \[ f(x) = |x - 0.25| + b \] corresponds to the picture.

\(\ \ 0.5\)

\(\ \ - 0.5\)

\(\ \ 0.75\)

\(\ \ - 0.75\)

\(\ \ 0.25\)

9000024405

Level:

Identify the value of a real parameter \(b\) such that the graph of the function \[ f(x) = \left |x -\frac{1} {3}\right | + b \] corresponds to the picture.

\(\ \ - 1\)

\(\ \ -\frac{2} {3}\)

\(\ \ \frac{2} {3}\)

\(\ \ \frac{1} {3}\)

\(\ \ 1\)

9000024503

Level:

Identify the value of a real parameter \(a\) such that the graph of the function \[ f(x) = |x - a| + 3 \] corresponds to the picture.

\(1\)

\(3\)

\(- 3\)

\(- 1\)

\(4\)

9000024504

Level:

Identify the value of a real parameter \(b\) such that the graph of the function \[ f(x) = |x - 0.5| + b \] corresponds to the picture.

\(1\)

\(- 1\)

\(- 0.5\)

\(0.5\)

\(1.5\)

« first
‹ previous
…
3
4
5
6
7
8
9
10
11
next ›
last »

Linear functions with absolute values

1103072504

1103072503

1103072502

1103072501

1003019303

1003019302

9000024404

9000024405

9000024503

9000024504

About portal

O portálu