Solution: The cosine function oscillates between $ -1 $ and $ 1 $, so $ 5\cos\left(\frac\pi6x\right) $ ranges from $ -5 $ to $ 5 $. Adding 10 shifts the range to $ [5, 15] $. The range is $ \boxed[5, 15] $. - AMAZONAWS 📅 March 11, 2026 👤 scraface Mar 11, 2026
![Solution: The cosine function oscillates between $ -1 $ and $ 1 $, so $ 5\cos\left(\frac{\pi}{6}x\right) $ ranges from $ -5 $ to $ 5 $. Adding 10 shifts the range to $ [5, 15] $. The range is $ \boxed{[5, 15]} $.](https://soloferat.biz.id/images/solution-the-cosine-function-oscillates-between---1--and--1--so--5cosleftfracpi6xright--ranges-from---5--to--5--adding-10-shifts-the-range-to--5-15--the-range-is--boxed5-15-.jpg)
