Function: $ (2)=32- STEP O: PRELIMINARIES What class is it? What is the domain? Give equations of all VA's and coordinates of holes. Support with limits. Give equations of all HA's or oblique asymptotes. Support with limits. STEP 1: GET DERIVATIVES. CHECK WITH WOLFRAM OR SYMBOLAB. f'(x)= f"(x)= STEP 2: INFORMATION FROM S X) Set f '(x)=0 and solve for x. Also look for where f(x) ONE, where applicable. These are your critical values. Set up an interval test number line to test the sign of f '(x) STEP 3: INFORMATION FROM f (x) Set "(x)=0 and solve for x. Also look for where /"(x) DNE, where applicable. These are your potential inflection points. Set up an interval test number line to test the sign of "(*). STEP 4: SUMMARIZE Using your information from '(x) give the interval on which is increasing, and the interval on which is decreasing Using your information from /"(x), give the interval on which is concave up, and the intervalon which is concave down Make an "x, y, what" table for all interesting values of you've found in the previous steps. This would include endpoints of domain, breaks such as holes or VA's, critical values (CV), and potential inflection points (PIP). Identity maximum and minimum values. If your PIP is an actual IP. call it that. Note locations of horizontal and vertical tangents (htan and vtan). At this point, you should also give the intercept, and solve for the x intercepts if convenient.