Exponential functions

2010010204

Level: 
A
In the following list identify a point which is not on the graph of the function \(f(x) = 4 -\left (\frac{1} {2}\right )^{x}\).
\(A = [-2;8]\)
\(B =\left [1;\frac72\right]\)
\(C =\left [-1;2\right]\)
\(D =\left [0;3\right]\)
\(E =\left [-3;-4\right]\)
\(F =\left [2;\frac{15}4\right]\)

2010010203

Level: 
A
In the following list identify a function whose graph passes through the points \([2;6]\) and \([4;14]\).
\(f(x) = \left (\frac{1} {3}\right )^{2-x} +5\)
\(f(x) = \left (\frac{1} {3}\right )^{2-x} -5\)
\(f(x) = \left (\frac{1} {3}\right )^{x-2} -5\)
\(f(x) = 5-\left (\frac{1} {3}\right )^{x-2} \)
\( f(x)=5+\left(\frac13\right)^{x-2}\)
\( f(x)=5-\left(\frac13\right)^{2-x}\)

1103082704

Level: 
C
Function \( f \) is given completely by the next graph. Identify which of the following statements is true.
\( f(x)=2^{|x|};\ x\in[-2;2] \)
\( f(x)=\left|2^x\right|;\ x\in[-2;2] \)
\( f(x)=\left|x^2+1\right|;\ x\in[-2;2] \)
\( f(x)=\left|2^{-x}\right|;\ x\in[-2;2] \)