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October 9th, 2014, 12:50 AM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  Difference Between Maximum/Minimum Value and Maximum/Minimum Turning Point
Is there any difference between maximum/minimum value with maximum/minimum turning point? Someone please explain.

October 9th, 2014, 04:39 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,445 Thanks: 2499 Math Focus: Mainly analysis and algebra 
A turning point is a local maximum or minimum. The function may go to $\pm\infty$ as $x \to \pm\infty$ (or at any other point) in which case the local maxima and minima may not be global maxima or minima.

October 9th, 2014, 05:50 AM  #3 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,130 Thanks: 716 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
If you have a function $\displaystyle y = f(x)$ then I guess the "turning point" is the $\displaystyle x$value for which there is a maximum or minimum, whereas the "minimum/maximum value" is the $\displaystyle y$value at that point.

October 12th, 2014, 05:21 PM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Hello, Monox D. IFly! Quote:
Given: a function $\,y \,=\,f(x).$ A max/min value would be the (locally) largest or smallest value of $f(x).$ A max/min turning point would be the coordinates of the extreme value: $\,\big(x,\,f(x)\big)$  
October 13th, 2014, 05:58 AM  #5 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry  Well, I think I have gotten a grasp of it.


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