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Math Help - Can't seem to get this stupid continuity problem...

  1. #1
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    Can't seem to get this stupid continuity problem...

    Hey,

    Any help on this problem would be appreciated. For some reason I can't for the life of me solve any of these questions when an '=' sign is introduced:

    f(x) = {8x + 4 x < or = 9
    and f(x) = {-4x + c x > 9

    The question is : Find the value of 'c' that makes the function continuous.

    Again, any help appreciated,

    Craig.
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  2. #2
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    Quote Originally Posted by cjh824 View Post
    Hey,

    Any help on this problem would be appreciated. For some reason I can't for the life of me solve any of these questions when an '=' sign is introduced:

    f(x) = {8x + 4 x < or = 9
    and f(x) = {-4x + c x > 9

    The question is : Find the value of 'c' that makes the function continuous.

    Again, any help appreciated,

    Craig.
    for the function to be continuous ...

    f(9) must be defined

    \displaystyle \lim_{x \to 9^-} f(x) must equal \displaystyle \lim_{x \to 9^+} f(x)

    \displaystyle \lim_{x \to 9} f(x) must equal f(9)
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