Rational Functions

9000009901

Level: 
C
The picture shows parts of the graphs of the functions \[ \text{$f(x)= \frac{k_{1}} {x} $ and $g(x) = \frac{k_{2}} {x} $.} \] Find the relationship between \(k_{1}\) and \(k_{2}\)?
\(k_{1} > k_{2}\)
\(k_{1} < k_{2}\)
\(k_{1} = k_{2}\)
No conclusion is possible, more of the above possibilities may occur.

9000007510

Level: 
B
The graph of the function \[ f(x) = \frac{-x + 1} {1 + 3x} \] is a hyperbola. Find the center of this hyperbola.
\(S = \left [-\frac{1} {3};-\frac{1} {3}\right ]\)
\(S = \left [\frac{1} {3}; \frac{1} {3}\right ]\)
\(S = \left [1;-\frac{1} {3}\right ]\)
\(S = \left [-1;-\frac{1} {3}\right ]\)
\(S = \left [-\frac{1} {3}; \frac{1} {3}\right ]\)