What are the array detection non-mutation methods?

The methods which do not mutate the original array but always return a new array are called non-mutation methods.
 
Below are the list of non-mutation methods :
 
* filter()
* concat()
* slice()

For example, lets take a todo list where it replaces the old array with new one based on status filter,
vm.todos = vm.todos.filter(function (todo) {
  return todo.status.match(/Completed/)
})
This approach won't re-render the entire list due to VueJS implementation.