Q 1) A number w is called a fixed point of a function if f(w) for all real numbers x, f'(x) 1 then f(x) has at most one fixed point. Hint: Use the Mean Value Theorem and assume that there are 2 fixed...

Extracted text: Q 1) A number w is called a fixed point of a function if f(w) for all real numbers x, f'(x) 1 then f(x) has at most one fixed point. Hint: Use the Mean Value Theorem and assume that there are 2 fixed points. Why is this not possible (this is called proof by contradiction)? = w. Prove that if