I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 4.6 : The Shape of a Graph, Part II
1. The graph of a function is given below. Determine the intervals on which the function is concave up and concave down.
There really isn’t too much to this problem. We can easily see from the graph where the function in concave up/concave down and so all we need to do is estimate where the concavity changes (and this really will be an estimate as it won’t always be clear) and write down the intervals.
\[\require{bbox} \bbox[2pt,border:1px solid black]{{{\mbox{Concave Up : }}\left( { - 1,2} \right)\,\,\,\& \,\,\,\left( {6,\infty } \right)\hspace{0.5in}{\mbox{Concave Down : }}\,\,\left( { - \infty , - 1} \right)\,\,\,\,\& \,\,\,\,\left( {2,6} \right)}}\]Again, the endpoints of these intervals are, at best, estimates as it won’t always be clear just where the concavity changes.