'Nhat polynomial function approximates f(JC) well for small values of 3:? Explain your reasoning. In a paragraph, interpret your answer in part (a) in terms of populations. What does your answer tell you about how this model describes populations, and what is the signicance of the constant R? It may be shown that f'(a) : ( 131:5)2, which is always positive. Describe in a paragraph what the feature f' (:5) > 0 for all 3: 2 0 implies, in terms of population. 'Nhy might the feature f'(:22) > 0 for all :1: Z 0 be unsuitable for modelling certain populations? Describe your answer in a few sentences