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The curve must have a derivative at every point (except its end point).
A fraction is a single value. At is neither a graph nor a curve.
Absolute growth rate(agr) curve enables us to express the growth of organisms in terms f growth rate. In most organism, agr increases steadily until reaches a maximum and then, gradually falls. Agr is a bell-shaped curve.
I am not sure what situation you are talking about; usually such curves should be smooth.
A curve