Consider the function \(f\) with rule \(f(x)=\left\{\begin{array}{cl}\dfrac{x^2+3 x-10}{x-2} & , x \in R \backslash\{2\} \\ 7 & , x=2\end{array}\right.\)

Which of the following statements is correct?

1. The function \(f\) is continuous.
2. The graph of  \(y=f(x)\)  has a vertical asymptote.
3. The graph of  \(y=f(x)\)  has a horizontal asymptote.
4. The graph of  \(y=f(x)\)  has a point of discontinuity.