"encompass the range" is correct and usable in written English.
You can use it to indicate that a certain action or subject covers a broad scope. For example, "This online course will encompass the range of topics needed to understand basic economics."
Both grapes are versatile, making wonderful wines that encompass the range from bone dry to richly, unctuously sweet.
Such a debate would encompass the range of United States-China policy and could take place as early as next week, the aide said.
"There are these nine accidents that happen to Doug, and I needed an ensemble of voices to embody them, because no single human voice could encompass the range".
Three Lloyd's underwriters, accosted at random, seemed to encompass the range of reactions when they were asked how they felt about their new surroundings after two weeks.
We present fundamental and quantitative comparisons between the techniques of porometry (or flow permporometry), porosimetry, image analysis and void network modelling for seven types of filter, chosen to encompass the range of simple to complex void structure.
In both instances, her reliance on her own, undoubtedly exquisite, sense of the ineffable "specialness and mysteries" of art cannot encompass the range of works displayed; she must reduce them to self-contained categories and dismiss many as insignificant art, or not art at all.
In short, the deaf community, like the hearing community, encompasses the range of human capacities, strengths and foibles.
The range of fineness modulus of the sands fully encompassed the range of sands normally used in concretes.
Most people think the cone simply encompasses the range of possible tracks that a hurricane or tropical cyclone could take from different models.
