Posted by Anonymous on Monday, April 5, 2010 at 5:01pm.
Consider the function below. (Round the answers to two decimal places. If you need to use  or , enter INFINITY or INFINITY.)
f(x) = e^x/1+e^x
find the horizontal and vertical assymptotes?
find the interval whr f is increasing?
Find the inflection point.
Find the interval where the function is concave up.
Find the interval where the function is concave down.

math (calculus) PLZZZ help!  Reiny, Monday, April 5, 2010 at 6:12pm
to have a vertical asymptote, 1 + e^x has to be zero, or
e^x = 1
No value of x makes that statement true, so there is no vertical asymptote.
for x >∞ , f(x) approaches 1
for x > ∞, f(x) approaches 0
so for large +x's, the horizontal asymptote is y = 1
for large x's the horizontal asymptote is y = 0
f'(x) = [(1+e^x)(e^x)  e^x(e^x)]/(1+e^x)^2
= e^x(1 + 2e^x)/(1+e^x)^2
This will always be positive for any value of x, so the function is increasing for all values of x

math (calculus) PLZZZ help!  bella, Monday, April 5, 2010 at 6:34pm
so would the inflection points be (0,1)?
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