Which of the following actions would require a real estate license if performed for compensation?

Providing property management services is indeed an activity that requires a real estate license when it is performed for compensation. Property management involves a variety of tasks such as collecting rent, managing tenants, maintaining the property, and handling lease agreements. These activities are considered real estate practices that fall under the purview of licensed professionals, as they directly relate to the management and operation of rental properties.

In contrast, publicly offering rental properties for free does not require a license because no compensation is involved in that scenario. Offering personal advice on purchasing property may not require a license if it is informal and not conducted as part of a business. Marketing a property without an agreement typically implies that the individual is not acting on behalf of the property owner or managing the property, which also does not constitute a licensed activity. All these factors contribute to why providing property management services is the clear action that mandates licensing for compensation in the real estate sector.