Step 1: Picture what an ecosystem actually keeps running.
Producers capture solar energy, this energy flows through food chains, and decomposers recycle nutrients like carbon and nitrogen back into the environment.
Step 2: See why this matters for the whole biosphere.
Without this continuous flow of energy and recycling of nutrients, living organisms would run out of both the energy and the raw materials they need to survive.
Step 3: Rule out the weaker options.
Recreation, food production alone, or industrial output are side benefits at best - they don't explain why ecosystems sustain life itself.
\[ \boxed{\text{They maintain biogeochemical cycles and energy flow essential for life}} \]