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Math Help - find values of m and n so function is continuous

  1. #1
    Member sluggerbroth's Avatar
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    find values of m and n so function is continuous

    f(x)= mx, x<4 and x^2, x> or =4
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  2. #2
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    Re: find values of m and n so function is continuous

    Hello, sluggerbroth!

    \text{Where is the }n\,?


    f(x) \:=\:\begin{Bmatrix}mx & \text{ if }x < 4 \\ x^2 & \text{ if }x \ge 4 \end{array}

    \text{Find values of }m\text{ and }n\text{ so }f(x)\text{ is continuous.}

    Equate both branches of the function.
    Substitute x = 4.
    Solve for m.

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  3. #3
    Member sluggerbroth's Avatar
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    Re: find values of m and n so function is continuous

    are you saying 4m=16 and solve for m=4???
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