iran-konkur 2013 Q101

iran-konkur · Other · konkur-riazi_1392 Curve Sketching Range and Image Set Determination
101- For which set of values of $a$, the graph of $f(x) = (a-3)x^2 + ax - 1$ does not pass through the first quadrant?
  • [(1)] $a \leq 2$
  • [(2)] $0 < a \leq 2$
  • [(3)] $2 < a < 3$
  • [(4)] $0 < a < 3$
\textbf{101-} For which set of values of $a$, the graph of $f(x) = (a-3)x^2 + ax - 1$ does not pass through the first quadrant?

\begin{itemize}
\item[(1)] $a \leq 2$
\item[(2)] $0 < a \leq 2$
\item[(3)] $2 < a < 3$
\item[(4)] $0 < a < 3$
\end{itemize}