9000014207
Level:
B
Identify a possible analytic expression for the function
\(f\)
graphed in the picture.
\(f(x)= \frac{x+1}
{x+2}\)
\(f(x)= \frac{1}
{x+2} - 1\)
\(f(x) = \frac{1}
{x+2} + 1\)
\(f(x) = \frac{x+1}
{x-2}\)
B
9000014806
Level:
B
Find the maximum value of the quadratic function
\(f(x) = 0.02x^{2} - 7x + 4\).
does not exist
\(4\)
\(0.02\)
\(- 7\)
9000014803
Level:
B
The graph of the function \(f(x) = 6x^{2} + 3\) is a parabola. Which of the following points is the vertex of this parabola?
\([0,3]\)
\([3,0]\)
\([1,9]\)
\([1,2]\)
9000014208
Level:
B
Identify a possible analytic expression for the function
\(f\)
graphed in the picture.
\(f(x) = \frac{2x+1}
{x-1} \)
\(f(x) = \frac{3}
{x-1} - 2\)
\(f(x)= \frac{2x-1}
{x+1} \)
\(f(x) = \frac{2x+2}
{x-1} \)
9000018001
Level:
B
Solve the following inequality.
\[
-3x > 6
\]
\(x\in \left (-\infty ,-2\right )\)
\(x\in \left (-\infty ,-2\right ] \)
\(x\in \left (-2,\infty \right )\)
\(x\in \left [ -2,\infty \right )\)
9000014804
Level:
B
The graph of the function \(f(x) = x^{2} - 4x + 13\) is a parabola. Which of the following points is the vertex of this parabola?
\([2,9]\)
\([-2,13]\)
\([-4,13]\)
\([0,13]\)
9000018104
Level:
B
Find the maximal integer which solves the following inequality.
\[
1 - 3x > 3\left (4 - x\right ) + 2x
\]
\(- 6\)
\(- 5\)
\(- 3\)
\(- 2\)
9000018002
Level:
B
Assuming positive integer \(x\),
solve the following inequality.
\[
-5x\geq - 1
\]
\(x\in \emptyset \)
\(x\in \left \{0\right \}\)
\(x\in \left (0, \frac{1}
{5}\right ] \)
\(x\in \left \{\frac{1}
{5}\right \}\)
9000014206
Level:
B
Find the domain \(\mathrm{Dom}(f)\)
and range \(\mathop{\mathrm{Ran}}(f)\) of
the function \(f(x) = \frac{2+x}
{x+4}\).
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ,-4)\cup (-4,\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ,1)\cup (1,\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ,4)\cup (4,\infty ), \\
\mathop{\mathrm{Ran}}(f) &= (-\infty ,1)\cup (1,\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ,2)\cup (2,\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ,4)\cup (4,\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ,4)\cup (4,\infty ), \\
\mathop{\mathrm{Ran}}(f) &= (-\infty ,2)\cup (2,\infty )
\end{align*}
9000019806
Level:
B
Find the smallest integer solution of the following equation.
\[
x^{4} - 2x^{3} - x^{2} + 2x = 0
\]
\(- 1\)
\(0\)
\(1\)
\(2\)