B

9000014203

Level: 
B
Which of the statements from the following list is true for the function \(f(x) = -\frac{2} {x} + 1\)?
The function \(f\) is a one-to-one function.
The function \(f\) is an odd function.
The function \(f\) is an increasing function.
The graph of the function \(f\) is a hyperbola with branches in the second and fourth quadrant.

9000014201

Level: 
B
Find intersection points of the graph of the rational function \( f(x) = \frac{2x - 3} {x - 2} \) with \(y\)-axis.
\(Y = \left [0; \frac{3} {2}\right ]\)
\(Y = \left [\frac{3} {2};0\right ]\)
\(Y _{1} = \left [0; \frac{3} {2}\right ]\text{ and }Y _{2} = \left [\frac{3} {2};0\right ]\)
\(Y = \left [2;2\right ]\)

9000007707

Level: 
B
Identify a correct statement which concerns the function \(f(x) = 2 -\frac{1} {x}\).
None of the statements above is true.
The function \(f\) is bounded above.
The function \(f\) is an even function.
The function \(f\) is a bounded function.
The function \(f\) is an odd function.

9000007808

Level: 
B
Given a function \(f(x) = \frac{x} {3} + 1\), find the function \(g\) such that the graph of \(g\) is symmetric with the graph of \(f\) about the \(y\)-axis.
\(g\colon y = -\frac{x} {3} + 1\)
\(g\colon y = 3x + 1\)
\(g\colon y = -3x + 1\)
\(g\colon y = -\frac{x} {3} - 1\)
Such a function does not exist.