Question

For a given function f(x) = [x²-x] + {x}

(1) f(x) is continuous at x = 0, x = 1 

(2) f(x) is continuous and differentiable at x = 0 and x = 1 

(3) f(x) is continuous but non- differentiable at x = 0, 1 

(4) f(x) is continuous at x = 1 but discontinuous at x = 0

Answer 1

(4) f(x) is continuous at x = 1 but discontinuous at x = 0