Statement 1: If g(x) is a differentiable function, g(2)≠0, g(−2)≠0 and Rolle's theorem is not applicable to f(x) =x2−4g(x) in [−2,2], then g(x) has at least one root in (−2,2). Statement 2: If f(a)=f(b), then Rolle's theorem is applicable for x∈(a,b)