9000004206
Level:
A
Given the function \(f(x) = 3x - 6\),
\(x\in (-\infty ;3] \),
solve
\[
f(x) = -8.
\]
\(x = -\frac{2}
{3}\)
\(x = -\frac{3}
{2}\)
\(x = -30\)
\(x = -18\)
A
9000004207
Level:
A
The range of the function \(g\)
graphed in the picture is \((-\infty ;3] \). Find the domain of \(g\).
\([ - 2;\infty )\)
\(\mathbb{R}\)
\((-\infty ;3] \)
\((-2;\infty )\)
9000003802
Level:
A
In the following list identify a function with graph through the points
\([5;0]\) and
\([-1;-2]\).
\(y =\log _{2}(x + 3) - 3\)
\(y =\log _{5}(10 - x) - 1\)
\(y =\log _{3}(4 + x) - 2\)
\(y = 2 -\log _{3}(4 + x)\)
\(y = 3 -\log _{2}(x + 3)\)
\(y = 1 -\log _{5}(10 - x)\)
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.
\(b = \frac{5}
{a}\),
\(a\in (0;\infty )\)
\(b = 5a\),
\(a\in (0;\infty )\)
\(b = \frac{10}
{a} \),
\(a\in (0;\infty )\)
\(b = \frac{25}
{a} \),
\(a\in (0;\infty )\)
9000003801
Level:
A
Identify a possible analytic expression for the function graphed in the picture.
\(y =\log _{\frac{1}
{2} }(x + 1) + 1\)
\(y =\log _{\frac{1}
{2} }(x - 1) + 1\)
\(y =\log _{\frac{1}
{2} }(x - 1) - 1\)
\(y =\log _{\frac{1}
{2} }(x + 1) - 1\)
9000004204
Level:
A
Given the function \(f(x)= 3x - 6\),
\(x\in (-\infty ;3] \), find the
\(y\)-intercept.
\(y = -6\)
\(y = 6\)
\(y = 2\)
\(y = -2\)
9000004205
Level:
A
Given the function \(f(x) = 3x - 6\),
\(x\in (-\infty ;3] \), find
\(f(-4)\).
\(- 18\)
\(\frac{2}
{3}\)
\(6\)
\(- 6\)
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.
\(y = 2^{x-1} - 2\)
\(y = 2^{x+1} - 2\)
\(y = 2^{x+1} + 2\)
\(y = 2^{x-1} + 2\)