suppose a species lives in a ecosystem with unlimited resources and no predators what is the shape of its population versus time graph A curve that increases but flattens out as many times as passes

In an ecosystem with unlimited resources and no predators, the population of a species would follow a logistic growth curve.

At the initial stages, the population size would increase rapidly as there are no limiting factors. The graph would show a steep upward slope. However, as the population approaches the carrying capacity of the ecosystem (the maximum number of individuals the environment can sustain), the rate of population growth would slow down. The graph would start to flatten out as the population reaches its maximum size.

This is because even though there are unlimited resources available, other factors like competition for resources, limited space, or the buildup of waste and toxins would eventually start exerting a limiting influence on population growth. As time passes, the population would oscillate around the carrying capacity, resulting in a flattened curve with multiple peaks and dips.