テレビをつけてかまいませんか。

television; TV; TV program; TV programme; TV broadcast

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to turn on; to switch on; to light up

to mind; to care about; to be concerned about; to care for; to look after; to prepare for; to interfere with; to meddle in; to tease

indicates a question (sometimes rhetorical); or; whether or not; some- (e.g. something, someone); indicates doubt, uncertainty, etc.; emphatic prefix; suffix forming adjectives or adverbs; in that way