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Math Help - Critical Numbers

  1. #1
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    Critical Numbers

    I need to know how to find the critical numbers of the function

    g(t) = |3t-4|

    I am new to the forum, but I would like your help, much appreciated.
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  2. #2
    Jen
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    Quote Originally Posted by Kris Wit a K View Post
    I need to know how to find the critical numbers of the function

    g(t) = |3t-4|

    I am new to the forum, but I would like your help, much appreciated.
    g(t)=\begin{cases}<br />
-3t+4 \mbox{ if } t \le \frac{4}{3} \\<br />
3t-4 \mbox{ if } t > \frac{4}{3} \\<br />
\end{cases}

    g'(t)=\begin{cases}<br />
-3 \mbox{ if } t < \frac{4}{3} \\<br />
3 \mbox{ if } t > \frac{4}{3} \\<br />
\end{cases}

    The only critical point is where the derivative is undefined, which is at 4/3.
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  3. #3
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    Thank you so much, I was pretty sure that this was the solution, but I was not entirely sure. Homework being worth the most in my class stresses most importance. Thank you again.
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