Question

For the first part it is just a reference.

Validate each of the following proofs by evaluating each of the following. Foundation for the proof Statement of what the author intends to show. a. b. Description, in your own words, of what the statement implies c. Intuitive justification as to why this is likely to be true. a. Identify what the author stated as a logical implication. What foundational assumption:s b. .Structure of the proof. will the author make? What will the author be required to demonstrate? Describe the structure of the proof. How does this structure support completion of the proof? What key points will the author address? c. Justification How do you know there are no gaps in reasoning? Explain the justification for each key point in the proof. a. b. 2. Prove: If fis a continuous function from interval [a, bl to interval [a, bl, then there exists a fixed point, a real number p E [a, bl, such that f(p) p. Note: If f(a)- a or f(b) b, then the existence of the fixed point is obvious.) Suppose f(a) # a and f(b) # b. Then it must be true that f(a) > a and f(b) 0 and g(b) f(b) b

Answer 1

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