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Math Help - continous function question

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    continous function question

    For what value of the constant c is the function f continous on (-infinite, infinite)?

    f(x) = cx + 1 if x less than or equal to 3
    f(x) = cx^2-1 if x greater than 3
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    Quote Originally Posted by cityismine View Post
    For what value of the constant c is the function f continous on (-infinite, infinite)?

    f(x) = cx + 1 if x less than or equal to 3
    f(x) = cx^2-1 if x greater than 3
    you want to make sure that \lim_{x \to 3^+}f(x) = \lim_{x \to 3^-}f(x).

    so plug in x = 3 to both expressions, equate them and solve for c
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