B

9000025804

Level: 
B
In the following list identify a true statement on the function \(f\). \[ f(x) = (x + 1)(x + 2)(x - 3) \]
The function \(f\) is positive on \(I_{1} = (-2;-1)\) and \(I_{2} = (3;\infty )\).
The function \(f\) is an increasing function (in its whole domain).
The function is decreasing only on \(I = (-1;3)\).
The function is decreasing on \(I_{1} = (-\infty ;-2)\) and \(I_{2} = (3;\infty )\).

9000022804

Level: 
B
Establish the values of the real parameter \(t\) which ensure that the following expression is nonpositive. \[ \frac{2} {2t^{2} + t - 1} \]
\(\left (-1; \frac{1} {2}\right )\)
\(\left [ -\frac{1} {2};1\right ] \)
\(\left [ -1; \frac{1} {2}\right ] \)
\(\left (-\frac{1} {2};1\right )\)

9000022306

Level: 
B
Using the graph of the function \(f(x)= -x^{2} - 2x + 8\) solve the following inequality. \[ -x^{2} - 2x + 8\leq 5 \]
\(\left (-\infty ;-3\right ] \cup \left [ 1;\infty \right )\)
\(\left (-\infty ;-4\right ] \cup \left [ 2;\infty \right )\)
\(\left [ -3;1\right ] \)
\(\left [ -4;2\right ] \)

9000022308

Level: 
B
Using graphs of the functions \(f(x)= -2x^{2} + 3x + 4\) and \(g(x) = x\) solve the following quadratic inequality. \[ -2x^{2} + 3x + 4\geq x \]
\(\left [ -1;2\right ] \)
\(\{ - 1;2\}\)
\(\left (-1;2\right )\)
\(\left (-\infty ;-1\right )\cup \left (2;\infty \right )\)