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Math Help - I need help finding variables to allow continuity.

  1. #1
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    I need help finding variables to allow continuity.

    I need help with this question,
    I need help finding variables to allow continuity.-question-2-assignment-3.png
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  2. #2
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    Re: I need help finding variables to allow continuity.

    Hey calmo11.

    Hint: Is something is continuous then it means that all parts of the graph will match up (i.e. there will be no sudden jumps).

    As a starting hint this means that cx^2 = 4 when x = 1.
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  3. #3
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    Re: I need help finding variables to allow continuity.

    Since you're asked to make h(x) continuous, and not differentiable, it seems to me all you need is to make the three expressions equal to four at x = 1. That makes c = 4 and m = 5.

    The first and third expressions are not defined at x = 1, but they will approach 4 as x "goes to 1".
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