B

9000007510

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

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.

9000007702

Level: 
B
Identify a correct statement which concerns the function \(f(x) = \frac{1} {-x+2}\).
None of the statements above is true.
The function \(f\) is an increasing function.
The function \(f\) is bounded below.
The function \(f\) has a maximum at \(x = 2\).
The function \(f\) is decreasing on \((2;\infty )\).

9000007709

Level: 
B
Identify a correct statement which concerns the function \(f(x) = -\frac{5} {x} - 3\).
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 decreasing function on \((0;\infty )\).
The function \(f\) is an odd function.