Results 1 to 3 of 3

Thread: Graphing e graphs

  1. #1
    Dec 2010

    Exclamation Graphing e graphs

    Is there a faster way to graph expressions with 'e' in them? Whenever I graph them I have to put in a few x values manually into the expression to see what the graph looks like and then find the turning points

    How do I find the asymptotes for these graphs? I'm having trouble with graphing y=x-e^x - Is the asymptote y=-1?

    The other problem: one of the expressions is y=(e^x)/(x-1)
    I've been taught that to find the asymptotes you divide everything by the highest x power in the denominator and anything when simplified is still over x is marked as a zero (something to do with limits)

    What about (e^x)/x? Is it possible to simplify that?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Nov 2010
    Clarksville, ARk

    Re: Graphing e graphs

    I suppose you need to recognize that the graph $\displaystyle y=e^x$ only has a horizontal asymptote to the left, none to the right. That asymptote being the negative x-axis , i.e. y = 0 as x → -∞ .

    The graph $\displaystyle y=e^{-x}$ is a reflection through the y-axis of $\displaystyle y=e^x\,.$

    For the cases you mention, it's handy to be able to visualize the resulting graphs for adding/subtracting functions & multiplying/dividing functions.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Siron's Avatar
    Jul 2011

    Re: Graphing e graphs

    You're talking about asymptotes, but which asymptotes?
    For example, if you have given: $\displaystyle f(x)=\frac{e^x}{x-1}$
    -$\displaystyle \lim_{x\to +\infty} \frac{e^x}{x-1}$, you can use in this case l'Hopitals rule and so you get:
    $\displaystyle \lim_{x\to +\infty} e^{x}=+\infty$
    -$\displaystyle \lim_{x \to -\infty}\frac{e^x}{x-1}=0$

    So one H.A, $\displaystyle y=0$

    Try to search for the other asymptotes.
    You can't simplify $\displaystyle \frac{e^x}{x}$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Aug 30th 2010, 02:31 AM
  2. Replies: 0
    Last Post: Dec 29th 2009, 08:08 PM
  3. Graphing tangents to polar graphs
    Posted in the Calculators Forum
    Replies: 1
    Last Post: Dec 16th 2009, 04:47 AM
  4. Graphing of y graphs
    Posted in the Algebra Forum
    Replies: 6
    Last Post: Nov 7th 2009, 09:47 PM
  5. Graphing graphs with asymptotes
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Oct 10th 2009, 11:28 PM

Search Tags

/mathhelpforum @mathhelpforum