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due is in one day help! 1] a) Give the definition of a polynomial function. [5 pts) b) Give an example of a polynomial function

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1] a) Give the definition of a polynomial function. [5 pts) b) Give an example of a polynomial function of degree 5.15 pts] c) Give an example of a polynomial function of degree 0. [5 pts] d) Give an example of a non-polynomial function and explain why not a polynomial function. (10 pts] 2] a) Give the definition of a rational function. [5 pts] b) Give an example of a rational function and explain why it is a rational function. [5 pts] c) Give an example of a non-rational function and explain why it is not a rational function. [10 pts) 3] Observations show that on an island of area x square miles, the average number of animal species is approximately equal to f(x) = 2Vx. a) On average, how many animal species would you expect to find on an island of area 64 square miles? (10 pts] b) How big must an island be to have an average of 80 animal species? (10 pts) c) If s, is the average number of species on an island of x square miles and sy is the average number of species on an island of 2x square miles, find [10 pts] 4] Find the given sum below if if x is odd f(x) = and if x is even - g(x) = -C if f(x) is odd if f(x) is even f(1) + g(3) + f(2) +96) + g(0) [25 pts]

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