What shape does the logistic growth model produce when graphed?

The logistic growth model produces an S-shaped curve when graphed, known as a sigmoid curve. This shape represents a population that initially experiences exponential growth when resources are abundant, as individuals reproduce and thrive. However, as the population approaches the carrying capacity of the environment—where resources become limited—the growth rate slows down and eventually levels off. This S-shape visually emphasizes the phases of growth: the slow start, rapid increase, and eventual stabilization, which reflects the balance between population growth and environmental constraints. The logistic growth model is critical in ecology, as it accurately represents how populations grow in real-world scenarios where resources are finite.