QUESTION 5 Consider the following statements: (i) there is a function f: R → R that obtains every value exactly once. (ii) there is a function f:RR that obtains every value exactly twice. (iii) there is a function f:R→R that obtains every value exactly three times. How many of these statements are true? O One of these statements is true. Three of these statements are true. OTwo of these statements are true. None of these statements are true.

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A: g: A ------- B and, f: B --------C  f 0 g is one-to-one

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A: We use definition of function and one-one function to prove that f-1 is function.

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A: Solution :-

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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A: Option (d) is correct.

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A: We have to tell truth and false of given statements. and give explanation also.

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Q: The function f is constant on I if ________.

A: To determine when the function f is constant on I.

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Q: How many functions f: {1,2,3,4} → a. ƒ(1) = 1 or ƒ(2) = 2 (or both)? → {1, 2, 3, 4} are there…

A: Since your question carry more than three subparts , so as per Bartleby guidelines we are answering…

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A: Please see below picture for detailed solution.

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A: Given :Associate property : h∘f∘g=h∘f∘g

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A: Solution

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Q: 2. What is the count of a. all possible functions F:{0,135 (0, 13º ? b. All possible functions…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

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A: A following graph:To Find:Equation of the above graph.

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