The diagram below shows the graph of the function
\(f(x) = \dfrac{ax + b}{x + c}\).

The dotted blue lines represent the asymptotes. The graph passes through
the point \(\left(0, -\frac{1}{2} \right)\).

\begin{enumerate}
\item
  \nbPointsEnumi{2}Give the equation of the vertical asymptote.
\item
  \nbPointsEnumi{2}State the domain of the function.
\item
  \nbPointsEnumi{2}Find value of \(c\).
\item
  \nbPointsEnumi{2}Give the equation of the horizontal asymptote.
\item
  \nbPointsEnumi{2}State the range of the function.
\item
  \nbPointsEnumi{2}Find value of \(a\).
\item
  \nbPointsEnumi{2}A student says that the value of \(b\) is 1. Are they correct? You
  must justify your answer.
\end{enumerate}

\begin{center}
\includegraphics[width=4.80189in,height=5.16038in]{S6P3/2021_December/2021_12_S6P3_VAR_EN_BTest_ExoA5_IMG1.jpg}
\end{center}
