9000005710
Level:
A
Consider the linear function \(f(x) = 4x + 4\).
Find the intersection point of the graph of
\(f\) with
\(y\)-axis.
\([0;4]\)
\([-1;0]\)
\([-4;0]\)
\([0;0]\)
A
9000004909
Level:
A
Identify a possible analytic expression for the function
\(g\)
graphed in the picture.
\(y =\log _{3}(x + 2) - 1\)
\(y =\log _{\frac{1}
{3} }(x + 2) - 1\)
\(y =\log _{3}(x - 2) + 1\)
\(y =\log _{\frac{1}
{3} }(x - 2) + 1\)
9000005801
Level:
A
Given the linear function \(f(x) = -3x + 1\),
evaluate
\[
f(a) + f(1 - a).
\]
\(- 1\)
\(- 3a\)
\(- 6a - 3\)
\(- 2\)
9000005701
Level:
A
Given the linear function \(f(x) = 3x - 2\),
evaluate \(f\left (\frac{1}
{6}\right )\).
\(-\frac{3}
{2}\)
\(- 1\)
\(\frac{1}
{6}\)
\(\frac{5}
{2}\)
9000004902
Level:
A
Find the domain of the function \(f\colon y =\log _{\frac{1}
{3} }(9 - x^{2})\).
\(\mathrm{Dom}(f) = (-3;3)\)
\(\mathrm{Dom}(f) =\mathbb{R}\setminus \{3\}\)
\(\mathrm{Dom}(f) = (-\infty ;3)\)
\(\mathrm{Dom}(f) = (3;\infty )\)
\(\mathrm{Dom}(f) = (-\infty ;-3)\cup (3;\infty )\)
9000005703
Level:
A
Given the linear function \(f(x)= \frac{1}
{2}x - 2\),
evaluate \(f(-4) - f(4)\).
\(- 4\)
\(- 6\)
\(0\)
\(4\)
9000005704
Level:
A
Given the linear function \(f(x) = 5x - 3\),
solve \(f(x) = -8\).
\(- 1\)
\(- 43\)
\(- 16\)
\(11\)
9000004208
Level:
A
The domain of the part of the linear function \(g\)
graphed in the picture is \([ - 2;\infty )\).
Find the range of \(g\).
\([ - 1;\infty )\)
\(\mathbb{R}\)
\((-2;\infty )\)
\((-1;\infty )\)
9000005707
Level:
A
Let \(f\) be the linear
function \(f(x) = -x + 4\) restricted
to the interval \(x\in [ - 3;2] \).
Find the range of \(f\).
\([ 2;7] \)
\([ 1;6] \)
\([ - 3;3] \)
\([ - 1;2] \)
9000005802
Level:
A
Given the linear function \(f(x) = -\frac{1}
{4}x + 4\),
evaluate
\[
f(2a)\cdot f(-2a).
\]
\(16 -\frac{a^{2}}
{4} \)
\(0\)
\(4 - a^{2}\)
\(- 4 + a^{2}\)