Monox D. I-Fly

Is there any difference between maximum/minimum value with maximum/minimum turning point? Someone please explain.

v8archie

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.

Benit13

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.

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: $\,\big(x,\,f(x)\big)$

Monox D. I-Fly

Well, I think I have gotten a grasp of it.