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October 9th, 2014, 01:50 AM   #1
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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, 05:39 AM   #2
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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, 06:50 AM   #3
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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, 06:21 PM   #4
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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: $\,\big(x,\,f(x)\big)$

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October 13th, 2014, 06:58 AM   #5
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Quote:
Originally Posted by soroban View Post
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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