# Thread: function local extrema etc

1. ## function local extrema etc

f(x)= e^10x/ 1+ e^10x graph this function when -5<= x <= 5.
find the notable features of this graph, including any local extrema points of inflection and asymptotes.

then sketch a plausible graph for e^10000x / 1 + e^10000x.

well are both graphs not just a horizontal line at 1?
so what would the local extrema and points of inflection be?
i have to write out the answer to the problem. So it would be something like when i graphed this problem it was pretty much a straight line so.....

am i correct in my thinking or am i bugging out?

2. $\frac{e^{ax}}{1+ e^{ax}}$, for large a, will be very close to 0 for negative x and very close to 1 for positive x. Close to x= 0, the function rises very sharply from 0 to 1- how sharply depending on how large a is.