9000005701
Level:
A
Given the linear function \(f(x) = 3x - 2\),
evaluate \(f\left (\frac{1}
{6}\right )\).
\(-\frac{3}
{2}\)
\(- 1\)
\(\frac{1}
{6}\)
\(\frac{5}
{2}\)
A
9000004902
Level:
A
Find the domain of the function \(f\colon y =\log _{\frac{1}
{3} }(9 - x^{2})\).
\(\mathrm{Dom}(f) = (-3;3)\)
\(\mathrm{Dom}(f) =\mathbb{R}\setminus \{3\}\)
\(\mathrm{Dom}(f) = (-\infty ;3)\)
\(\mathrm{Dom}(f) = (3;\infty )\)
\(\mathrm{Dom}(f) = (-\infty ;-3)\cup (3;\infty )\)
9000003701
Level:
A
Identify a possible analytic expression for the exponential function graphed in the
picture.
\(y = 2^{x-1} - 2\)
\(y = 2^{x+1} - 2\)
\(y = 2^{x+1} + 2\)
\(y = 2^{x-1} + 2\)
9000003804
Level:
A
In the following list identify the point that is not a point on the graph of the function:
\[f(x) = 1 -\log _{3}x\]
\([0;1]\)
\([3;0]\)
\(\left [\frac{1}
{9};3\right ]_{}\)
\([1;1]\)
\(\left [\frac{1}
{3};2\right ]\)
\([9;-1]\)
9000003807
Level:
A
In the following list identify a negative expression.
\(\log _{0.1}20 -\log _{0.1}0.2\)
\(\log _{3}9^{2.5} -\log _{4}4^{0.5}\)
\(\log _{4}16^{\frac{3}
{2} } +\log _{3}3^{\frac{1}
{4} }\)
\(\log _{3}7 +\log _{3}\frac{81}
{7} \)
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
\(f(x) = 3 -\left (\frac{1}
{3}\right )^{x}\).
\(C = [-2;6]\)
\(A = [-1;0]\)
\(B = \left [1; \frac{8}
{3}\right ]\)
\(D = [0;2]\)
\(E = [-3;-24]\)
\(F = \left [2; \frac{26}
{9} \right ]\)
9000004201
Level:
A
Consider the function \(f(x) = 3x - 6\),
\(x\in (-\infty ;3] \). Find the
range of \(f\).
\((-\infty ;3] \)
\([ 3;\infty )\)
\(\mathbb{R}\)
\((-\infty ;3)\)
9000004203
Level:
A
Given the function \(f(x) = 3x - 6\),
\(x\in (-\infty ;3] \), find the
\(x\)-intercept.
\(x = 2\)
\(x = -2\)
\(x = \frac{1}
{2}\)
\(x = -\frac{1}
{2}\)
9000004206
Level:
A
Given the function \(f(x) = 3x - 6\),
\(x\in (-\infty ;3] \),
solve
\[
f(x) = -8.
\]
\(x = -\frac{2}
{3}\)
\(x = -\frac{3}
{2}\)
\(x = -30\)
\(x = -18\)