9000004207
Level:
A
The range of the function \(g\)
graphed in the picture is \((-\infty ,3] \). Find the domain of \(g\).
\([ - 2,\infty )\)
\(\mathbb{R}\)
\((-\infty ,3] \)
\((-2,\infty )\)
A
9000002910
Level:
A
Consider a rectangle with area of
\(5\, \mathrm{cm}^{2}\). Find the formula which relates side \(a\) to the side \(b\) of this rectangle.
\(b = \frac{5}
{a}\),
\(a\in (0,\infty )\)
\(b = 5a\),
\(a\in (0,\infty )\)
\(b = \frac{10}
{a} \),
\(a\in (0,\infty )\)
\(b = \frac{25}
{a} \),
\(a\in (0,\infty )\)
9000003702
Level:
A
In the following list identify a function whose graph passes through the points
\([3,0]\) and
\([5,3]\).
\(f(x) = \left (\frac{1}
{2}\right )^{3-x} - 1\)
\(f(x) = \left (\frac{1}
{2}\right )^{3-x} + 1\)
\(f(x) = 1 -\left (\frac{1}
{2}\right )^{x-3}\)
\(f(x) = \left (\frac{1}
{2}\right )^{x-3} + 1\)
\(f(x) = 1 -\left (\frac{1}
{2}\right )^{x+3}\)
\(f(x) = \left (\frac{1}
{2}\right )^{x-3} - 1\)
9000003703
Level:
A
In the following list identify a point which is not on the graph of the function
\(f(x) = 3 -\left (\frac{1}
{3}\right )^{x}\).
\(C = [-2,6]\)
\(A = [-1,0]\)
\(B = \left [1, \frac{8}
{3}\right ]\)
\(D = [0,2]\)
\(E = [-3,-24]\)
\(F = \left [2, \frac{26}
{9} \right ]\)
9000003802
Level:
A
In the following list identify a function with graph through the points
\([5,0]\) and
\([-1,-2]\).
\(y =\log _{2}(x + 3) - 3\)
\(y =\log _{5}(10 - x) - 1\)
\(y =\log _{3}(4 + x) - 2\)
\(y = 2 -\log _{3}(4 + x)\)
\(y = 3 -\log _{2}(x + 3)\)
\(y = 1 -\log _{5}(10 - x)\)
9000003804
Level:
A
In the following list identify the point that is not a point on the graph of the function:
\[f(x) = 1 -\log _{3}x\]
\([0,1]\)
\([3,0]\)
\(\left [\frac{1}
{9},3\right ]_{}\)
\([1,1]\)
\(\left [\frac{1}
{3},2\right ]\)
\([9,-1]\)
9000003801
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y =\log _{\frac{1}
{2} }(x + 1) + 1\)
\(y =\log _{\frac{1}
{2} }(x - 1) + 1\)
\(y =\log _{\frac{1}
{2} }(x - 1) - 1\)
\(y =\log _{\frac{1}
{2} }(x + 1) - 1\)
9000003101
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y = \frac{1}
{2x}\)
\(y = \frac{2}
{x}\)
\(y = -\frac{2}
{x}\)
\(y = -\frac{1}
{2x}\)
9000003102
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y = -\frac{2}
{x}\)
\(y = \frac{2}
{x}\)
\(y = \frac{1}
{2x}\)
\(y = -\frac{1}
{2x}\)
9000003701
Level:
A
Identify a possible analytic expression for the exponential function graphed in the
picture.
\(y = 2^{x-1} - 2\)
\(y = 2^{x+1} - 2\)
\(y = 2^{x+1} + 2\)
\(y = 2^{x-1} + 2\)