You are given the graph of a function f. - 3 - 2-1 123 -2+ Determine the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward concave downward Find the inflection point of f, if any. (If an answer does not exist, enter DNE.) ( x, y ) =You are given the graph of a function f. 2 1 X 1 2 3 4 Determine the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward concave downwardYou are given the graph of a function f. YA Determine the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward concave downward Find the inflection point of f. (If an answer does not exist, enter DNE.) ( x, y ) =Consider the following function. 900 = x2 + 2x + 9 Find the rst and second derivatives of the function. Q'EX) = 9 "[X) = Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) concave upward concave downward GOO-gle's Revenue The revenue for a certain corporation from 2004 (t = 0} through 2008 (t = 4) is approximated by the function R(t) = o.21*3 + 1.641'2 + l.39t+ 3.9 (o 5 ts 4) where RU} is measured in billions of dollars. (a) Find R'(E') and R\"(t). R'(t) = Ru(t) : (b) Show that R'(t) 1: 0 for all t in the interval (0, 4} and interpret your result. Hint: Use the quadratic formula. Setting R'(t] = 0 and solving for t gives t = . (Enter all real number answers, whether or not they fall inside the dened interval. Round your answers to three decimal places. Enter your answers as a commaiseparated list.) Both roots lie the interval (0, 4). Because R'(0) - 0, we conclude that R'(t) 0 for all t in (0, 4). (c) Find the inection point of the graph of R. [Round your answer to two decimal places.) r = E Interpret your result. 0 The corporation's revenue has been stable from the start of 2004 through to the end of 2008. O The corporation's revenue went was decreasing from the start of 2004 until September 2006, and increasing from that point until the end of 2008. O The corporation's revenue was always increasing between 2004 and 2008, and increased fastest in September 2006. O The corporation's revenue went was increasing from the start of 2004 until September 2006, and decreasing from that point until the end of 2008. O The corporation's revenue was always decreasing between 2004 and 2008, and decreased fastest in September 2005