function customFilter(array, callback) {
    var result = [];
        for (var i = 0; i < array.length; i++) {
            if (callback(array[i])) {
                result.push(array[i]);
            }
        }
    return result;
}



function check_filter(origin_array, examine_filter, arrow_function) {
    // Get filtered arrays
    var filtered_origin_array = origin_array.filter(arrow_function);
    var filtered_examine_array = customFilter(origin_array, arrow_function);
    // Check for correct filtering. Return "true" in case of correct filter, "false" - otherwise
    if (Math.min.apply(Math, filtered_examine_array) == Math.min.apply(Math, filtered_origin_array) &&
        Math.max.apply(Math, filtered_examine_array) == Math.max.apply(Math, filtered_origin_array) &&
        filtered_examine_array.length == filtered_origin_array.length) {

        return true
    }

}

// Test cases
// Case 1
var arr_1 = [-5, -2, 0, 1, 2, 5, 9];
fn_1 = item => item > 1;
console.log(check_filter(arr_1, customFilter, fn_1), arr_1);

// Case 2
var arr_2 = [0, 3, 4, 7, 12];
fn_2 = item => item < 5;
console.log(check_filter(arr_2, customFilter, fn_2), arr_2);

// DEBUG
console.log(Math.max.apply(Math, [1,2,3,4,5]));
console.log(Math.min.apply(Math, arr_1));