Based on the photo you posted, it doesn't have continuity or inductance capabilities.
Also, I've never seen a "cheap" DMM that can measure inductance. The only devices I know of that will measure inductance (L) are an oscilloscope and signal generator.
My understanding is (and it is a tentative grasp at best) that a typical DMM does not have the capacity to generate appropriate signal frequencies as part of the L measuring process and are expensive bits of kit to make.