Question:
Which of the following statements is true for the function \(f(x)=\begin{cases}x^{2}+3,&x\ne0\\ 1&,&x=0\end{cases}\) ?
- A. \(f(x)\) is continuous and differentiable \(\forall x\in\mathbb{R}\)
- B. \(f(x)\) is continuous \(\forall x\in\mathbb{R}\)
- C. \(f(x)\) is continuous and differentiable \(\forall x\in\mathbb{R}-\{0\}\)
- D. \(f(x)\) is discontinuous at infinitely many points