My Math Forum Difference Between Maximum/Minimum Value and Maximum/Minimum Turning Point

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 October 9th, 2014, 01:50 AM #1 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 2,001 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, 05:39 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,559 Thanks: 2558 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. Thanks from Monox D. I-Fly
 October 9th, 2014, 06:50 AM #3 Senior Member   Joined: Apr 2014 From: Glasgow Posts: 2,133 Thanks: 719 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, 06:21 PM   #4
Math Team

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Hello, Monox D. I-Fly!

Quote:
 Is there any difference between a maximum/minimum value and a maximum/minimum turning point?

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, 06:58 AM   #5
Senior Member

Joined: Nov 2010
From: Indonesia

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Math Focus: Trigonometry
Quote:
 Originally Posted by soroban Hello, Monox D. I-Fly! 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: $\,\big(x,\,f(x)\big)$
Well, I think I have gotten a grasp of it.

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