HTML5 event handling(onfocus and onfocusout) using angular 2

Try to use (focus) and (focusout) instead of onfocus and onfocusout

like this : -

<input name="date" type="text" (focus)="focusFunction()" (focusout)="focusOutFunction()">

also you can use like this :-

some people prefer the on- prefix alternative, known as the canonical form:

<input name="date" type="text" on-focus="focusFunction()" on-focusout="focusOutFunction()">

Know more about event binding see here.

you have to use HostListner for your use case

Angular will invoke the decorated method when the host element emits the specified event.@HostListener is a decorator for the callback/event handler method

See my Update working Plunker.

Working Example Working Stackblitz

Update

Some other events can be used in angular -

(focus)="myMethod()"
(blur)="myMethod()" 
(submit)="myMethod()"  
(scroll)="myMethod()"

If you want to catch the focus event dynamiclly on every input on your component :

import { AfterViewInit, Component, ElementRef } from '@angular/core';

@Component({
  selector: 'my-app',
  templateUrl: './app.component.html',
  styleUrls: [ './app.component.css' ]
})
export class AppComponent implements AfterViewInit {

  constructor(private el: ElementRef) {
  }

  ngAfterViewInit() {
       // document.getElementsByTagName('input') : to gell all Docuement imputs
       const inputList = [].slice.call((<HTMLElement>this.el.nativeElement).getElementsByTagName('input'));
        inputList.forEach((input: HTMLElement) => {
            input.addEventListener('focus', () => {
                input.setAttribute('placeholder', 'focused');
            });
            input.addEventListener('blur', () => {
                input.removeAttribute('placeholder');
            });
        });
    }
}

Checkout the full code here : https://stackblitz.com/edit/angular-93jdir

I've created a little directive that bind with the tabindex attribute. It adds/removes the has-focus class dynamically.

@Directive({
    selector: "[tabindex]"
})
export class TabindexDirective {
    constructor(private elementHost: ElementRef) {}

    @HostListener("focus")
    setInputFocus(): void {
        this.elementHost.nativeElement.classList.add("has-focus");
    }

    @HostListener("blur")
    setInputFocusOut(): void {
        this.elementHost.nativeElement.classList.remove("has-focus");
    }
}