9000003608
Level:
B
Solve the following equation.
\[
\frac{2}
{3}\cdot 9^{x+1} - 13\cdot 6^{x} + 24\cdot 4^{x-1} = 0
\]
\(1,\ -1\)
\(\frac{3}
{2},\ \frac{2}
{3}\)
\(\frac{1}
{2},\ -\frac{1}
{2}\)
\(\frac{3}
{2},\ -\frac{3}
{2}\)
B
9000002905
Level:
B
Find the range of the function \(f(x)= \frac{1}
{x-2} + 1\).
\((-\infty ,1)\cup (1,\infty )\)
\(\mathbb{R}\)
\((-\infty ,2)\cup (2,\infty )\)
\((-\infty ,-1)\cup (-1,\infty )\)
9000002901
Level:
B
Find the domain of the function \(f\colon y = \frac{1}
{x-2} + 1\).
\(\mathbb{R}\setminus \{2\}\)
\(\mathbb{R}\setminus \{ - 1\}\)
\(\mathbb{R}\setminus \{0\}\)
\(\mathbb{R}\)
9000002906
Level:
B
Find the domain of the function
\(f(x) = - \frac{3}
{x-1} - 2\) if we have to ensure
that the range of \(f\)
is \((-1,1] \).
\((-2,0] \)
\([ - 2,0)\)
\((0,2] \)
\((0,4)\)
9100018108
Level:
B
Graph the solution of the following inequality.
\[
\frac{x - 5}
{2} \leq 2\left (x + 1\right )
\]
9100014204
Level:
B
Identify a possible graph for the function
\(f(x) = \frac{2}
{x+1} - 1\).
9100014205
Level:
B
Identify a possible graph for the function
\(f(x) = 2 - \frac{1}
{x-3}\).
9100033706
Level:
B
Identify a picture which shows graphical solution of the following quadratic
inequality, assuming that the solution is the red set.
\[
-x^{2} + x + 2 > 2x
\]
9100003210
Level:
B
Identify a possible graph of the function
\(f(x) = -2 - \frac{1}
{x-1}\).
9100025608
Level:
B
Identify the picture which shows solution of
\[
\text{$2x^{2} - 5x - 3 = 0$}
\]
by a graphical method.
