If there is no entry for the AMD GPU after a factory restore, the system is almost certainly Intel-only.  What model system do you have and what CPU is installed?

I have a Dell Inspiron 15r 3521. My dedicated(Switchable)Graphics Card before was I think AMD Radeon 8500m/8700m but on Dells Driver theres two 1. 8730m and 2. 7670m I tried installing both but wont let me.

I definitely have a working Graphics card before I did a factory restore because I know that my graphics card was under Display adapters before and that I can switch to 'High Performance' using CCC.

Did you do a factory restore, or a manual install of WIndows?  What version of Windows is installed?

I used the Cd Partition that Dell provided and I have windows 8

If so, call Dell - if you don't see the AMD GPU after a recovery, it has failed and the mainboard will need to be replaced under warranty.

Oh I see. my warranty just ran out last month, would it be possible for meto get an extended warranty now and send the laptop to Dell? Knowing that it broke without warranty?

In general, expired warranties cannot be extended.

If the video chip has truly failed, you're in for a replacement system board - the cost of which will be about what a 1-year extension of the warranty would have been anyway (figure about $350 with labor).