9000003104
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 -\frac{1}
{x}\)
\(y = 2 + \frac{1}
{x}\)
\(y = -2 + \frac{1}
{x}\)
\(y = 2 -\frac{1}
{x}\)
B
9000003105
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{1}
{x-2}\)
\(y = - \frac{1}
{x-2}\)
\(y = - \frac{1}
{x+2}\)
\(y = \frac{1}
{x+2}\)
9000003706
Level:
B
In the following list identify an equation such that neither
\(x = 2\) nor
\(x = -2\) is the
solution of this equation.
\(\sqrt{2^{x}}\cdot \sqrt{3^{x}} = 36\)
\(0.25^{x} = 16\)
\(6^{-x} = \frac{1}
{36}\)
\(25^{x} = \left (\frac{1}
{5}\right )^{x^{2}
}\)
9000002902
Level:
B
The point \(A\) is on the
graph of the function \(f(x)= \frac{-10}
{x+5}\).
The \(x\)-coordinate
of the point \(A\)
is \(10\). Find the
\(y\)-coordinate
of the point \(A\).
\(-\frac{2}
{3}\)
\(\frac{2}
{3}\)
\(-\frac{1}
{5}\)
\(-\frac{1}
{3}\)
9000003708
Level:
B
Consider the exponential equation
\[
4^{x+2} - 5\cdot 4^{x+1} + 4^{x-1} + 240 = 0
\]
with \(x\in \mathbb{R}\).
In the following list identify a true statement on this equation.
The equation has a unique solution. This solution is a positive integer.
The equation has a unique solution. This solution is a negative number.
The equation does not have a solution.
The equation has two solutions.
Zero is a
solution of this equation.
The equation has a unique solution. This solution is a negative integer.
9000002907
Level:
B
Identify a possible analytic expression for the function graphed in the
picture.
\(y = -2 + \frac{1}
{x+1}\)
\(y = - \frac{1}
{x+1} - 2\)
\(y = \frac{1}
{x+2} - 1\)
\(y = 2 + \frac{1}
{x+1}\)
9000003806
Level:
B
In the following list identify an equation such that neither
\(x = 5\) nor
\(x = 3\) is the
solution of this equation.
\(\log _{3}(1 - x) =\log _{3}(x + 16 - x^{2})\)
\(\log (54 - x^{3}) = 3\cdot \log x\)
\(\log _{5}(x^{2} - 17) =\log _{5}(x + 3)\)
\(\log (x - 2) -\log (4 - x) = 1 -\log (13 - x)\)
9000003106
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{2}
{x+1}\)
\(y = \frac{1}
{x+2}\)
\(y = - \frac{1}
{x+2}\)
\(y = \frac{1}
{x-1}\)
9000003808
Level:
B
Identify one statement which is true for the following equation.
\[
\log (x - 13) -\log (x - 3) = 1 -\log 2
\]
The equation does not have a solution.
The equation has two solutions.
The equation has a unique solution. This solution is a noninteger rational
number.
The solution is \(x = 0\).
The equation has a unique solution. This solution is a positive integer.
The equation has a unique solution. This solution is a negative integer.
9000003107
Level:
B
Identify a possible analytic expression for the function graphed in the picture.
\(y = -2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x+1}\)
\(y = 2 + \frac{1}
{x-1}\)
\(y = -2 + \frac{1}
{x-1}\)