Is every invertible function monotonic?

Every invertible function is (a) monotonic function (b) constant function (c) identity function (d) not necessarily monotonic function

Every invertible function is (a) monotonic function (b) constant function (c) identity function (d) not necessarily monotonic function

Is every differentiable function continuous?

Is every differentiable function continuous?

Statement-1 : Let f : [1, oo) rarr [1, oo) be a function such that f(x) = x^(x) then the function is an invertible function. Statement-2 : The bijective functions are always invertible .

Statement-1 : Let f : [1, oo) rarr [1, oo) be a function such that f(x) = x^(x) then the function is an invertible function. Statement-2 : The bijective functions are always invertible .

Is every continuous function differentiable?

Is every continuous function differentiable?