Rational Functions

9000007507

Level: 
B
The graph of the function \[ f(x) = \frac{2x - 4} {3x + 2} \] is a hyperbola. Find the center of this hyperbola.
\(S = \left [-\frac{2} {3}, \frac{2} {3}\right ]\)
\(S = \left [-\frac{3} {2}, \frac{2} {3}\right ]\)
\(S = \left [\frac{2} {3},-\frac{3} {2}\right ]\)
\(S = \left [-\frac{2} {3},-\frac{2} {3}\right ]\)
\(S = \left [\frac{3} {2}, \frac{3} {2}\right ]\)

9000008002

Level: 
A
Consider the point \(A = [-1,-3]\) and the function \(f(x) = \frac{k} {x}\) with a nonzero real parameter \(k\in \mathbb{R}\setminus \{0\}\). Identify the value of the parameter \(k\) which ensures that the point \(A\) is on the graph of \(f\).
\(3\)
\(1\)
\(- 1\)
\(- 3\)

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.