Here's an example of zooming to the extent of a dynamic map service, using AMD code
<!DOCTYPE html>
<html>
<head>
<title>Create a Map</title>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=7, IE=9, IE=10">
<link rel="stylesheet" href="http://serverapi.arcgisonline.com/jsapi/arcgis/3.5/js/dojo/dijit/themes/claro/claro.css">
<link rel="stylesheet" href="http://serverapi.arcgisonline.com/jsapi/arcgis/3.5/js/esri/css/esri.css">
<style>
html, body, #mapDiv{
padding: 0;
margin: 0;
height: 100%;
}
</style>
<script src="http://serverapi.arcgisonline.com/jsapi/arcgis/3.5/"></script>
<script>
var map, layerDynamic;
require(["esri/map", "dojo/Deferred", "dojo/domReady!"], function(Map, Deferred) {
map = new Map("mapDiv", {
center: [-56.049, 38.485],
zoom: 3,
basemap: "streets"
});
layerDynamic = new esri.layers.ArcGISDynamicMapServiceLayer("http://sampleserver1.arcgisonline.com/ArcGIS/rest/services/Louisville/LOJIC_LandRecords_Louisville/MapServer", {
id: 'Dynamic',
});
map.addLayers([layerDynamic]);
layerDynamic.on("load", function () {
var deferred = new Deferred();
deferred = map.setExtent(layerDynamic.initialExtent, true);
deferred.then(function () {
console.log("Extent set");
});
});
});
</script>
</head>
<body class="claro">
<div id="mapDiv"></div>
</body>
</html>