B

9000003803

Level: 
B
The function \(g\colon y =\log _{3}(x - 2)\) is graphed in the picture. In the following list identify a false statement.
The function \(g\) is a positive function.
The domain of the function \(g\) is the interval \((2;\infty )\).
The function \(g\) is not bounded.
The function \(g\) is an increasing function.
The function \(g\) has neither minimum nor maximum.
The graph of the function \(g\) goes through \([5;1]\).

9000003704

Level: 
B
The function \(g(x) = 3 - 3^{x}\) is graphed in the picture. In the following list identify one statement which is not true.
The range of the function \(g\) is \((-\infty ;3] \).
The function \(g\) is neither odd nor even.
The function \(g\) is decreasing on the domain.
The domain of the function \(g\) is \((-\infty ;\infty )\).
The function \(g\) is not bounded. It is bounded above.
All the values of the function \(g\) are smaller than \(3\).

9000002904

Level: 
B
Let by \(X\) and \(Y\) denote the intersection points of the graph of the function \(f(x) = - \frac{1} {x-1} + 1 \) with \(x\) and \(y\)-axis, respectively. Find coordinates of \(X\) and \(Y\).
\(X = [2;0]\), \(Y = [0;2]\)
\(X = [1;0]\), \(Y = [0;1]\)
\(X = [0;2]\), \(Y = [2;0]\)
\(X = Y = [0;0]\)