PlotRange -> {{<domain>}, {<codomain>}} is the way to set the codomain in its normal meaning.
But the OP has in mind restricting the region that is plotted, and that task can be handled with RegionFunction.
Plot[10 (x - 10) Sin[x], {x, -2, 80},
RegionFunction -> Function[{x, y}, 3 x < y < 7 x + 3]]
