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Posted by 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! - , 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! - , Monday, April 5, 2010 at 6:34pm

    so would the inflection points be (0,1)?

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