November 27th, 2015, 10:55 AM  #1 
Newbie Joined: Nov 2015 From: Canada Posts: 1 Thanks: 0  Shapes of graphs
How do I find the concavity of this function and its inflection points just by looking at it ? http://i.imgur.com/q9uavkv.png 
November 27th, 2015, 12:11 PM  #2 
Math Team Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 
The function is convex wherever the graph opens upwards. For example, the part of the graph nearest the $x$axis is convex. Likewise, the function is concave wherever the graph opens downwards. For example, in the area in the middle. Inflection points are points where the graph switches from convex to concave (or vice versa). The first of these appears at what looks like the point (2, 5). 
November 27th, 2015, 01:05 PM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,949 Thanks: 1555 
check attachment ...


Tags 
graphs, shapes 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Question on isomorph Graphs and their complement Graphs  MageKnight  Applied Math  0  January 17th, 2013 10:38 PM 
Can you help me work out the area of these shapes?  mathismydoom  Algebra  2  October 24th, 2012 08:41 AM 
Shapes within a circle  SHRock  Algebra  3  August 19th, 2010 01:32 PM 
Equal shapes when one is proper set of other  honzik  Algebra  2  June 9th, 2009 10:20 AM 
shapes  mikeportnoy  Applied Math  0  September 27th, 2008 07:59 AM 