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Thread: Need the asymptotes and the axes intercepts Of these graphs

  1. #1
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    Need the asymptotes and the axes intercepts Of these graphs

    How do we find the equations of asymptotes and the axes intercepts? (I did the graphs via a website).

    a)



    b)



    c)



    d)

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  2. #2
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    $\displaystyle y = 2^x - 4$.


    It's important to note for exponential functions such as $\displaystyle y = a^x$ that $\displaystyle y > 0$ for all $\displaystyle x$.

    So for $\displaystyle y = 2^x - 4$, if you know $\displaystyle 2^x > 0$, then what do you think $\displaystyle 2^x - 4$ is greater than?
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    Quote Originally Posted by Prove It View Post
    [tex] then what do you think $\displaystyle 2^x - 4$ is greater than?
    y= - 4
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  4. #4
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    Correct. So $\displaystyle y = -4$ is an asymptote.

    Now going back to the original equation

    $\displaystyle y = 2^x - 4$.

    To find the $\displaystyle x$ intercept, let $\displaystyle y = 0$ and solve for $\displaystyle x$.

    To find the $\displaystyle y$ intercept, let $\displaystyle x = 0$ and solve for $\displaystyle y$.
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