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 \(f\).
\([ 2,7] \)
\([ 1,6] \)
\([ - 3,3] \)
\([ - 1,2] \)
A
9000005708
Level:
A
Consider the linear function \(f(x)= -5x + 4\)
and points \(A = [1,-1]\),
\(B = [-2,-14]\),
\(C = [3,-11]\),
\(D = [-4,24]\).
How many of these points lies on the graph of the function
\(f\)?
\(3\)
\(1\)
\(2\)
\(4\)
9000004906
Level:
A
Identify a possible analytic expression for the function
\(f\)
graphed in the picture.
\(y =\log _{2}x\)
\(y =\log _{0.2}x\)
\(y =\log _{0.5}x\)
\(y =\log _{5}x\)
9000005709
Level:
A
Consider the linear function \(f(x)= -\frac{4}
{3}x + 4\).
Find the intersection point of the graph of
\(f\) with
\(x\)-axis.
\([3,0]\)
\([0,-6]\)
\([0,-4]\)
\([6,0]\)
9000004909
Level:
A
Identify a possible analytic expression for the function
\(g\)
graphed in the picture.
\(y =\log _{3}(x + 2) - 1\)
\(y =\log _{\frac{1}
{3} }(x + 2) - 1\)
\(y =\log _{3}(x - 2) + 1\)
\(y =\log _{\frac{1}
{3} }(x - 2) + 1\)
9000005710
Level:
A
Consider the linear function \(f(x) = 4x + 4\).
Find the intersection point of the graph of
\(f\) with
\(y\)-axis.
\([0,4]\)
\([-1,0]\)
\([-4,0]\)
\([0,0]\)
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 \(f(-4) - f(4)\).
\(- 4\)
\(- 6\)
\(0\)
\(4\)
9000004903
Level:
A
Find the domain of the function \(f\colon y = \frac{3}
{\log _{5}(x-4)}\).
\(\mathrm{Dom}(f) = (4,5)\cup (5,\infty )\)
\(\mathrm{Dom}(f) = (0,\infty )\setminus \{4\}\)
\(\mathrm{Dom}(f) = (-4,\infty )\setminus \{5\}\)
\(\mathrm{Dom}(f) = (4,\infty )\)