a) Explain the terms pure function and referentially transparent expression. Give an example of each. 

Question

b) Explain the terms domain and range, as they pertain to functions in functional programming. Choose a programming language that has a square root function. What is the domain and range of the square root function? Is this a partial function or not? Explain your answer.

c) Using a functional language of your choice, write a recursive function duplicate which duplicates every item in a list. For example, applying duplicate to the list [3,5,6,8] should give the result [3,3,5,5,6,6,8,8].

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