Standard #: MA.912.C.1.11


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Apply the Intermediate Value Theorem and the Extreme Value Theorem.


Examples


Example: Use the Intermediate Value Theorem to show that begin mathsize 12px style g left parenthesis x right parenthesis space equals space x cubed plus 3 x squared minus 9 x minus 2 end style has a zero between x=0 and x=3. 

Example: Use the Extreme Value Theorem to decide whether f(x)=tan(x) has a minimum and maximum on the interval begin mathsize 12px style open square brackets table row cell negative straight pi over 4 comma end cell cell straight pi over 4 end cell end table close square brackets end style. What about on the interval begin mathsize 12px style open square brackets table row cell negative straight pi comma end cell straight pi end table close square brackets end style?



Related Courses

Course Number1111 Course Title222
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))


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