# concave

• May 23rd 2010, 06:29 PM
vjelmy
concave
http://www.webassign.net/scalcet/4-3-1.gif
(c) The open interval on which f is concave upward.

(d) The open interval on which f is concave downward.

(e) The coordinates of the point of inflection.

i don't understand. isn't it concave upward at (2,4) http://www.mymathforum.com/images/smilies/icon_sad.gif
• May 23rd 2010, 07:24 PM
TKHunny
Change one word.

Concave up ON $(-\infty,2)$

Concave down ON $(2,\infty)$

Your point (2,4) is the point of inflection.
• May 24th 2010, 02:09 AM
HallsofIvy
If I am reading that graph correctly, (2, 4) isn't even on the graph. The inflection point is at (2, 3).
• May 24th 2010, 11:15 PM
TKHunny
I'm not real clear on the concavity at (4,1), either. I can formulate an opinion if you tell me it is continuous, there. It's a problem with drawings. There is a little guess work involved.