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    Does enlargement along y-axis of graph -e^x affect its asymptote?
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    (Original post by mystreet091234)
    Does enlargement along y-axis of graph -e^x affect its asymptote?
    No, because the asymptote is y=0.
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    (Original post by Zacken)
    No, because the asymptote is y=0.
    How about graph of 2-(1/2)*e^x?
    Asymptote of y=2 is unaffected by factor of 1/2?
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    (Original post by mystreet091234)
    How about graph of 2-(1/2)*e^x?
    Asymptote of y=2 is unaffected by factor of 1/2?
    \displaystyle e^x \rightarrow -\frac{1}{2}e^x

    Asymptote is still y=0.

    \displaystyle -\frac{1}{2}e^x \rightarrow 2-\frac{1}{2}e^x

    Asymptote moves up by 2.
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    (Original post by mystreet091234)
    How about graph of 2-(1/2)*e^x?
    Asymptote of y=2 is unaffected by factor of 1/2?
    Enlarging it by a factor of 1/2 gives 1-(1/4)e^x.

    i.e. the asymptote is at y=1 now, not y=2.
 
 
 

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