Calculus

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OK trying again.

For what (numerical) of the constant "c" is the function

f(x)= {x^2-cx if x is greater than -1
{cx^3+x if x is less than or equal to -1

continuous on (- infinity, +infinity)?(Justify answer!)

  • Calculus -

    To make the pieces of the function continous at -1, require that the two functions are equal at x = -1

    1 + c = -c -1
    2c = -2
    c = -1

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