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1. Consider the following square root function: P(t) = 5 - V2t + 4 a) Explain why the mathematical domain of this function is restricted. Find the mathematical domain of this function and state your answer using interval notation. b) Is this function increasing or decreasing on its mathematical domain? State the range of this function in interval notation: c) Biologists are researching the decline of an endangered seabird nesting on an offshore island. The function given above represents the bird population, P() in thousands, in terms of the number of years, I, since 2010 (t = 0 represents 2010). Find the average rate of change, - , of this function on the interval t e [0, 6] years from 2010. d) Explain the meaning of the average rate of change you found in part d) in the problem context. Use the appropriate units of this value in your explanation. e) Algebraically determine the f-intercept of this function. Clearly show all your work and express an exact answer. f) Consider your answer in part e) and state the Practical Domain of this function in interval notation