Continuity In a Function's Domain...2

Discussion in 'Calculus' started by nycmathguy, May 22, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.5

    Screenshot_20220516-084133_Samsung Notes.jpg

    IMG_20220521_190110.jpg

    Screenshot_20220521-182404_Samsung Internet.jpg
     
    nycmathguy, May 22, 2022
    #1
  2. nycmathguy

    MathLover1

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    28. correct, but explain why?

    upload_2022-5-21_18-12-45.png

    take a look at graph and say what do you see at x=-5 and x=3

    30.

    upload_2022-5-21_18-18-7.png
     
    MathLover1, May 22, 2022
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  3. nycmathguy

    nycmathguy

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    I say g is continuous because there are no holes, gaps or jumps in its domain.
     
    nycmathguy, May 22, 2022
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  4. nycmathguy

    MathLover1

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    correct, holes are filled up
     
    MathLover1, May 22, 2022
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  5. nycmathguy

    nycmathguy

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    When holes are filled in, the function becomes continuous.
     
    nycmathguy, May 22, 2022
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