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Math Help - proof using IVT

  1. #1
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    proof using IVT

    My professor assigned this exercise and I'm not really sure how to get it started.

    Suppose f(a,b)<0 and f(c,d)>0. Let \phi : [0,1]\rightarrow R^2 be determined by \phi (t)=(1-t)(a,b)+t(c,d). Apply Bolzano's Intermediate Value Theorem to g=f(\phi ).


    Any guidance would be appreciated.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Guidance with what...is there a question here?
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  3. #3
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    I'm not sure how to use the Intermediate Value Theorem to g=f(\phi ).
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