B

9000142006

Level: 
B
Identify a correct statement related to the function $f$ shown in the picture.
concave up on \((-\infty ;0)\) and \((1;\infty )\), concave down on \((0;1)\), a unique inflection at \(x = 0\)
concave up on \((-\infty ;0)\) and \((1;\infty )\), concave down on \((0;1)\), inflection at \(x_{1} = 0\) and \(x_{2} = 1\)
concave up on \((-\infty ;0)\cup (1;\infty )\), concave down on \((0;1)\), a unique inflection at \(x = 0\)
concave up on \((0;1)\), concave down on \((-\infty ;0)\) and \((1;\infty )\), inflection at \(x_{1} = 0\) and \(x_{2} = 1\)

9000141502

Level: 
B
Let \(A\) be set with \(n\) mutually different elements. The number of \(5\)-permutations with repetition is \(1024\). Find \(n\). (The term „\(k\)-permutation with repetition” stands for an ordered arrangement of \(k\) objects from a set of \(n\) objects, when each object can be chosen more than once.)
\(4\)
\(5\)
\(2\)

9000146208

Level: 
B
Factor the following expression. \[ \left (2x - 1\right )^{2} -\left (x + 3\right )^{2} \]
\(\left (x - 4\right )\left (3x + 2\right )\)
\(\left (x - 4\right )\left (3x - 2\right )\)
\(\left (x + 4\right )\left (3x + 2\right )\)
\(\left (x + 4\right )\left (3x - 2\right )\)