iran-konkur 2013 Q103

iran-konkur · Other · konkur-riazi_1392 Trig Graphs & Exact Values
103- The figure shows part of the graph of $y = a\sin\pi\!\left(\dfrac{1}{2} + bx\right)$. What is $a \cdot b$?
[Figure: Graph of a sinusoidal function with amplitude $2$, showing values at $x = 3.5$ and minimum $-2$, with dashed line at $y=2$]
  • [(1)] $2$
  • [(2)] $2.5$
  • [(3)] $3$
  • [(4)] $3.5$
\textbf{103-} The figure shows part of the graph of $y = a\sin\pi\!\left(\dfrac{1}{2} + bx\right)$. What is $a \cdot b$?

\textit{[Figure: Graph of a sinusoidal function with amplitude $2$, showing values at $x = 3.5$ and minimum $-2$, with dashed line at $y=2$]}

\begin{itemize}
\item[(1)] $2$
\item[(2)] $2.5$
\item[(3)] $3$
\item[(4)] $3.5$
\end{itemize}