You will often have the greatest success if you are On-Campus when using Library resources. The resource owner (publisher we lease the information from) sees you are coming from an ASU IP address (we pay the bills) and lets you in to their content.
The second best off-campus success is to begin by going to the Library homepage or list of databases or this guide. If you are going to Google Scholar definitely enter via the library's link (yellow tab on the homepage) to get full-text where it is available. As you search, you will encounter a box asking you to log-in with your email login for with your Last Name and Banner ID. You can locate your Banner ID number on your AppalNet account.