C

9000007102

Level: 
C
Consider a family \(M\) of quadratic functions, as shown in the picture. Any quadratic function in this family is given by the analytic expression \[ y = ax^{2} + bx + c \] where \(a\), \(b\) and \(c\) are real constants and \(a\not = 0\). For each function the set \(K\) denotes the set of \(x\)-intercepts. Complete the statement. „The analytic expressions for functions in the family \(M\) differ only in ....”
the coefficient \(c\)
the coefficient \(a\)
the coefficient \(b\)
the solution set \(K\)

9000003607

Level: 
C
The function \(f(x) = \left (\frac{1} {3}\right )^{x}\) is graphed in the picture. Identify a possible analytic expression for the function \(g\).
\(y = 3^{|x|}- 1\)
\(y = \left |\left (\frac{1} {3}\right )^{x} - 1\right |\)
\(y = \left (\frac{1} {3}\right )^{|x|}- 1\)
\(y = \left (\frac{1} {3}\right )^{|x-1|}\)
\(y = \left |3^{x} - 1\right |\)
\(y = 3^{|x-1|}\)

9000003709

Level: 
C
Solve the following inequality. \[ \left (\frac{2} {3}\right )^{2-3x} < \frac{2^{x+1}} {3^{x+1}} \]
\(\left (-\infty ; \frac{1} {4}\right )\)
\(\left (-\frac{1} {4};\infty \right )\)
\((-\infty ;4)\)
\(\left (\frac{1} {4};\infty \right )\)
\((4;\infty )\)
\(\left (-\infty ;-\frac{1} {4}\right )\)