Unit applications of the derivative continued

MATH104 Written Assignment 7 Due: Tuesday, March 1st at 5:00pm 1. Let f(x) = 23 -x2 - x +1. (a) Find the domain of f(x). (b) Find the coordinates of the x- and y-intercepts or explain why they do not exist. (c) Determine the equations of any horizontal or vertical asymptotes of f(x), if they exist. (d) Find any critical points of f(x) and determine the intervals of increase and decrease. (e) Determine the intervals of concavity and locate any points of inflection of f(x). (f) Sketch the graph of y = f(x) using the above information