5. Determine the values of the real parameters $a$ and $b$ of the function $f ( x ) = \frac { a x ^ { 2 } + b x + 3 } { 2 x ^ { 2 } + 5 x - 1 }$ so that it has the line $y = 2$ as a horizontal asymptote and a stationary point at $x = 1$. For the values found, determine whether $f ( x )$ has further asymptotes.