|October 9th, 2014, 12:50 AM||#1|
Joined: Nov 2010
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|
Joined: Dec 2013
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|
Joined: Apr 2014
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|
Joined: Dec 2006
From: Lexington, MA
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: $\,\big(x,\,f(x)\big)$
|October 13th, 2014, 05:58 AM||#5|
Joined: Nov 2010
|difference, maximum or minimum, point, turning|
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