Find Numbers Where f is Discontinuous...2

Discussion in 'Calculus' started by nycmathguy, May 20, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.5



    Screenshot_20220516-084246_Samsung Notes.jpg

    Screenshot_20220520-155641_Samsung Internet.jpg

    Question 41

    I see holes, gaps or jumps. I say f is continuous.
    What about sharp turns? Is a function continuous at sharp turns? Is my answer here correct? That is, f is continuous.

    You say?
     
    nycmathguy, May 20, 2022
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  2. nycmathguy

    MathLover1

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    Question 41? it's not there
     
    MathLover1, May 20, 2022
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  3. nycmathguy

    nycmathguy

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    Sorry. I posted the wrong set of problems. I will correct it shortly.
     
    nycmathguy, May 21, 2022
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  4. nycmathguy

    nycmathguy

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    Here is 41. You can now match the graph.

    Screenshot_20220521-180344_Samsung Notes.jpg
     
    nycmathguy, May 21, 2022
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  5. nycmathguy

    MathLover1

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    [​IMG]

    [​IMG]

    as you can see, function is continuous
     
    MathLover1, May 21, 2022
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  6. nycmathguy

    MathLover1

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    "I see holes, gaps or jumps. I say f is continuous." => should say I see NO holes, gaps or jumps. I say f is continuous.
     
    MathLover1, May 21, 2022
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  7. nycmathguy

    nycmathguy

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    I forgot to include the word NO. It happens. Tomorrow, Lord willing, a few intermediate value theorem questions.
     
    nycmathguy, May 22, 2022
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