9000005703
Level:
A
Given the linear function \(f(x)= \frac{1}
{2}x - 2\),
evaluate \(f(-4) - f(4)\).
\(- 4\)
\(- 6\)
\(0\)
\(4\)
A
9000004903
Level:
A
Find the domain of the function \(f\colon y = \frac{3}
{\log _{5}(x-4)}\).
\(\mathrm{Dom}(f) = (4,5)\cup (5,\infty )\)
\(\mathrm{Dom}(f) = (0,\infty )\setminus \{4\}\)
\(\mathrm{Dom}(f) = (-4,\infty )\setminus \{5\}\)
\(\mathrm{Dom}(f) = (4,\infty )\)
9000005704
Level:
A
Given the linear function \(f(x) = 5x - 3\),
solve \(f(x) = -8\).
\(- 1\)
\(- 43\)
\(- 16\)
\(11\)
9000004904
Level:
A
In the following list identify a function with a domain
\(\left (-\infty , \frac{2}
{3}\right ).\)
\(y =\log (2 - 3x)\)
\(y =\log (3x - 2)\)
\(y = -\log (3x - 2)\)
\(y =\log (2x - 3)\)
\(y =\log (3 - 2x)\)
none of the above
9000005802
Level:
A
Given the linear function \(f(x) = -\frac{1}
{4}x + 4\),
evaluate
\[
f(2a)\cdot f(-2a).
\]
\(16 -\frac{a^{2}}
{4} \)
\(0\)
\(4 - a^{2}\)
\(- 4 + a^{2}\)
9000004210
Level:
A
The function \(g\) is
graphed in the picture. Find \(g(0)\).
\(0\)
\(3\)
\(- 2\)
\(1\)
9000005705
Level:
A
Let \(f(x) = -\frac{1}
{2}x + a\). Which value of
the real parameter \(a\) in the
definition of the function \(f\)
guarantees \(f(2) = 2\)?
\(3\)
\(1\)
\(- 4\)
\(5\)
9000005803
Level:
A
Identify an analytic expression of a linear function
\(f\) which
satisfies \(f(-2) = 5\)
and \(f(4) = 2\).
\(f\colon y = -\frac{1}
{2}x + 4\)
\(f\colon y = x - 2\)
\(f\colon y = -x + 6\)
\(f\colon y = -2x + 1\)
9000004209
Level:
A
The linear function \(g\)
is graphed in the picture. Find the analytic expression for the function
\(g\).
\(y = -\frac{3}
{2}x\)
\(y = \frac{3}
{2}x\)
\(y = \frac{2}
{3}x\)
\(y = -\frac{2}
{3}x\)
9000005702
Level:
A
Given the linear function \(f(x) = -2x + 3\),
evaluate \(f(2) + f(-2)\).
\(6\)
\(0\)
\(3\)
\(- 8\)