It depends on what you want to do here. If you want to hold a result for every check then look at lincb answer. If you want just a true / false about whether all emails were valid then do:
validateForm: function() {
var emails = $('#email-addresses').val(),
emailArray = emails.split(',');
var isValid = true;
for (var i = 0; i < emailArray.length && isValid == true; i++) {
if( ! this.validateEmail(emailArray[i].trim())) {
isValid = false;
}
};
return isValid;
},