Final answer:
A population growing exponentially without limiting factors is represented by a J-shaped curve, while logistic growth with limited resources is shown as an S-shaped curve.
Step-by-step explanation:
A population that is growing exponentially in the absence of limiting factors can be illustrated by a J-shaped curve. Exponential growth occurs when a population has unlimited resources, resulting in a rapid increase in the population size. This type of growth starts off slowly, but as the population size increases, so does the growth rate, which then appears as a steep upward curve on a graph.
In contrast, when resources are limited, populations exhibit logistic growth, which is represented by an S-shaped curve. In logistic growth, the population expansion decreases as resources become scarce and levels off when the carrying capacity of the environment is reached.