A final word on curve sketching where I review all of the key elements of finding the characteristics of a function; s and y intercepts, domain, vertical asymptotes, horizontal asymptotes, using the first derivative to find critical values, the first derivative test to determine if you have a minimum or maximum value, second derivative test as well, increasing and decreasing intervals. Using the second derivative to find points of inflection (if they exist) and also using the 2nd derivative to determine the concavity of the function.