0
$\begingroup$

enter image description here

How many inflection points does the graph of g(x) have? What is the global maxima and minima ?

My answer was : There are 0 inflection point because they did not pass the Y axes so it did not have a change in sign. Maxima at x= 0 and Minima at x= 3, -3 ?

Is that right or totally wrong ?

$\endgroup$
  • $\begingroup$ are you asking about the inflection points and maxima and minima for function $g(x)$ or $g^{\prime}(x)$? $\endgroup$ – JEET TRIVEDI Jun 26 '14 at 23:45
  • $\begingroup$ @JEETTRIVEDI g(x) $\endgroup$ – John Jun 26 '14 at 23:48
1
$\begingroup$

Inflection points are points where $g^{\prime \prime}(x)=0$, so in your case, you have 3 inflection points, $x=0,x=3,x=-3$

Maxima are points where $g^{\prime}(x)=0$ and $g^{\prime \prime}(x)<0$ and Minima points are points where $g^{\prime}(x)=0$ and $g^{\prime \prime}(x)>0$

$\endgroup$
  • $\begingroup$ wrong answer !! $\endgroup$ – John Jun 27 '14 at 0:39
  • $\begingroup$ feel free to correct it...or point out the error. Constructive criticism is always appreciated. $\endgroup$ – JEET TRIVEDI Jun 27 '14 at 0:40
  • $\begingroup$ It was regarding the inflection point it wasn't 3 points. I tried Two and none also but they were false too ;/ $\endgroup$ – John Jun 27 '14 at 0:46
  • $\begingroup$ ok, admittedly it's hard to tell whether the graph has slope 0 at $x=\pm 3$, it may be that it doesn't. In that case, the only one that I can see for sure as an inflection point is $x=0$ $\endgroup$ – JEET TRIVEDI Jun 27 '14 at 0:49
  • $\begingroup$ What about the minima and maxima what will it be ? $\endgroup$ – John Jun 27 '14 at 1:06

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.