1103037401
Level:
A
The graph of the function \(3^x-9\) is below. What is the domain of \( f \)?
\( (-\infty;\infty ) \)
\( (-9;\infty ) \)
\( (-\infty;9) \)
\( [-9;\infty ) \)
Exponential functions
1103037402
Level:
A
The graph of the function \(-0.3^x+4\) is below. What is the range of \( f \)?
\( (-\infty;4) \)
\( (4;\infty) \)
\( (-\infty;4] \)
\( (-\infty;\infty) \)
2010010203
Level:
A
In the following list identify a function whose graph passes through the points
\([2;6]\) and
\([4;14]\).
\(f(x) = \left (\frac{1}
{3}\right )^{2-x} +5\)
\(f(x) = \left (\frac{1}
{3}\right )^{2-x} -5\)
\(f(x) = \left (\frac{1}
{3}\right )^{x-2} -5\)
\(f(x) = 5-\left (\frac{1}
{3}\right )^{x-2} \)
\( f(x)=5+\left(\frac13\right)^{x-2}\)
\( f(x)=5-\left(\frac13\right)^{2-x}\)
2010010204
Level:
A
In the following list identify a point which is not on the graph of the function
\(f(x) = 4 -\left (\frac{1}
{2}\right )^{x}\).
\(A = [-2;8]\)
\(B =\left [1;\frac72\right]\)
\(C =\left [-1;2\right]\)
\(D =\left [0;3\right]\)
\(E =\left [-3;-4\right]\)
\(F =\left [2;\frac{15}4\right]\)
2010013004
Level:
A
What value takes the function \(f(x)=9^x\) for the value of the argument \(x=-\frac32\)?
\(\frac1{3^3}\)
\(27\)
\(\frac1{\sqrt[3]{81}}\)
\(\frac1{81}\)
2010013005
Level:
A
What value takes the function \(f(x)=8^x\) for the value of the argument \(x=-\frac23\)?
\(0.25\)
\(4\)
\(\frac1{2^3}\)
\(\frac1{\sqrt[3]{8}}\)
2010013006
Level:
A
Find the range of a function \(f(x)=2^{1-x}-3\).
\(\left(-3;\infty\right)\)
\(\left(1;\infty\right)\)
\(\left(-\infty;-3\right)\)
\(\left(3;\infty\right)\)
2010013007
Level:
A
Find the range of the function \(f(x)=\left(\frac12\right)^{1-x}+2\).
\(\left(2;\infty\right)\)
\(\left(-2;\infty\right)\)
\(\left(-\infty;2\right)\)
\(\left(1;\infty\right)\)
2010013008
Level:
A
Given the function \(f(x)=3^x+1\), find the value of the function \(g(x)=f(x+1)\) for \(x=2\).
\(28\)
\(16\)
\(25\)
\(10\)
2010013009
Level:
A
Given the function \(f(x)=2^x-3\), find the value of the function \(g(x)=f(x+1)-1\) for \(x=2\).
\(4\)
\(2\)
\(6\)
\(5\)