Q1: Preview A number a is called a fixed point of a function f if f(a) - a. Consider the function f (x) = x35 + 5x + 1, withx ER. (a) Use the Mean Value Theorem to show that f( x) cannot have more than one fixed point." (b) Use the Intermediate Value Theorem and the result in (a) to show that f(x) has exactly one fixed point. Q Q2: Preview Sketch the graph of the function f(x) = x25 (5 - x). Specify the domain, the intercepts, the asymptotes (if any), the local max and min (if any), and the inflection points (if any). You need to show all your steps. Q3: Preview sin x BONUS QUESTION. Show that the inflection points of the curve y = lie on the curve X y2 (x4 + 4 ) = 4