9000003106
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{2}
{x+1}\)
\(y = \frac{1}
{x+2}\)
\(y = - \frac{1}
{x+2}\)
\(y = \frac{1}
{x-1}\)
B
9000003109
Level:
B
Identify the function that is graphed in the picture.
\(f(x) = \frac{x+3}
{x+2}\)
\(f(x) = \frac{x+2}
{x+1}\)
\(f(x) = \frac{x-2}
{x+1}\)
\(f(x) = -\frac{x+3}
{x+2}\)
9000003107
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x-1}\)
\(y = -2 + \frac{1}
{x-1}\)
9000003110
Level:
B
Identify the function that is graphed in the picture.
\(f(x) = \frac{2-x}
{1-x}\)
\(f(x) = \frac{x-2}
{x+1}\)
\(f(x) = -\frac{2-x}
{1-x}\)
\(f(x) = \frac{x-1}
{x+1}\)
9000003108
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 - \frac{1}
{x-1}\)
\(y = -1 - \frac{1}
{x-2}\)
\(y = -2 + \frac{1}
{x-1}\)
\(y = 1 - \frac{1}
{x-2}\)
9000002903
Level:
B
In the following list identify a point which is on the graph of the function
\(f(x) = \frac{3}
{x} - 5\).
\(A = \left [-6,-\frac{11}
{2} \right ]\)
\(A = \left [-1,-2\right ]\)
\(A = \left [-3,-\frac{5}
{2}\right ]\)
\(A = \left [\frac{1}
{2},-1\right ]\)
9000003604
Level:
B
Solve the following equation.
\[
10^{x} - 5^{x-1}\cdot 2^{x-2} = 950
\]
\(x = 3\)
\(x = 1\)
\(x = 2\)
\(x = 4\)
9000002904
Level:
B
Let by \(X\) and \(Y\) denote the intersection points of the graph of the function \(f(x) = - \frac{1}
{x-1} + 1 \)
with \(x\) and \(y\)-axis, respectively. Find coordinates of \(X\) and \(Y\).
\(X = [2,0]\),
\(Y = [0,2]\)
\(X = [1,0]\),
\(Y = [0,1]\)
\(X = [0,2]\),
\(Y = [2,0]\)
\(X = Y = [0,0]\)
9000003608
Level:
B
Solve the following equation.
\[
\frac{2}
{3}\cdot 9^{x+1} - 13\cdot 6^{x} + 24\cdot 4^{x-1} = 0
\]
\(1,\ -1\)
\(\frac{3}
{2},\ \frac{2}
{3}\)
\(\frac{1}
{2},\ -\frac{1}
{2}\)
\(\frac{3}
{2},\ -\frac{3}
{2}\)
9000002905
Level:
B
Find the range of the function \(f(x)= \frac{1}
{x-2} + 1\).
\((-\infty ,1)\cup (1,\infty )\)
\(\mathbb{R}\)
\((-\infty ,2)\cup (2,\infty )\)
\((-\infty ,-1)\cup (-1,\infty )\)