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Math Help - Find a and b so that the given piecewise function is continuous

  1. #1
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    Find a and b so that the given piecewise function is continuous

    f(x)={14, x<-3
    {ax2+b, -3<x<2
    {18-x, x>2
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  2. #2
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    Re: Find a and b so that the given piecewise function is continuous

    Quote Originally Posted by hplitz View Post
    f(x)={14, x<-3
    {ax2+b, -3<x<2
    {18-x, x>2
    Solve for a~\&~b so that {\lim _{x \to  - {3^ + }}}f(x) = 14~\&~{\lim _{x \to {2^ - }}}f(x) = 16.
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    Re: Find a and b so that the given piecewise function is continuous

    I got the answer a=-2/5 and b=88/5
    Does that seem right?
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    Re: Find a and b so that the given piecewise function is continuous

    Quote Originally Posted by hplitz View Post
    I got the answer a=-2/5 and b=88/5
    Does that seem right?
    Yes it does. At least a is correct.
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