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October 9th, 2014, 12:50 AM | #1 |
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,887 Thanks: 130 Math Focus: Trigonometry and Logarithm | 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.
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October 9th, 2014, 04:39 AM | #2 |
Math Team Joined: Dec 2013 From: Colombia Posts: 7,274 Thanks: 2435 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.
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October 9th, 2014, 05:50 AM | #3 |
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,099 Thanks: 703 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.
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October 12th, 2014, 05:21 PM | #4 | |
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407 | Hello, Monox D. I-Fly! 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: $\,\big(x,\,f(x)\big)$ | |
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October 13th, 2014, 05:58 AM | #5 |
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,887 Thanks: 130 Math Focus: Trigonometry and Logarithm | Well, I think I have gotten a grasp of it.
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