Which of the following statements is true for the function \(f(x)=\left\{\begin{array}{cc}x^2+3, & x \neq 0 \\ 1, &a…

\(\mathrm{f}(\mathrm{x})\) is continuous and differentiable \(\forall \mathrm{x} \in \mathbb{R}\)

\(\mathrm{f}(\mathrm{x})\) is continuous \(\forall \mathrm{x} \in \mathbb{R}\)

\(f(x)\) is continuous and differentiable \(\forall x \in \mathbb{R}-\{0\}\)

\(f(x)\) is discontinuous at infinitely many points