My Math Forum Shapes of graphs

 Pre-Calculus Pre-Calculus Math Forum

 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: 3,044
Thanks: 1627

check attachment ...
Attached Images
 concavity.jpg (15.3 KB, 0 views)

 Tags graphs, shapes

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post MageKnight Applied Math 0 January 17th, 2013 10:38 PM mathismydoom Algebra 2 October 24th, 2012 08:41 AM SH-Rock Algebra 3 August 19th, 2010 01:32 PM honzik Algebra 2 June 9th, 2009 10:20 AM mikeportnoy Applied Math 0 September 27th, 2008 07:59 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top