Science:Math Exam Resources/Courses/MATH100/December 2010/Question 04 (e)/Solution 1
From parts a) - d), we found that
[1] f is continous everywhere
[2] There is a horizontal asymptote of for .
[3] There is a local max at (0,2) and a local min at (1,1)
[4] There are no inflection points at f is concave down everywhere except at x = 0, x = 1.
From this information we can obtain an image that looks similar to this: