Results 1 to 4 of 4

Thread: Find a and b so that the given piecewise function is continuous

  1. September 12th 2012, 12:32 PM #1
    hplitz
    hplitz is offline
    Newbie
    Joined
    Sep 2012
    From
    arizona
    Posts
    2

    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
    Follow Math Help Forum on Facebook and Google+
  2. September 12th 2012, 12:47 PM #2
    Plato
    Plato is offline
    MHF Contributor
    Joined
    Aug 2006
    Posts
    16,995
    Thanks
    775
    Awards
    1
    MHF Donor

    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.
    Follow Math Help Forum on Facebook and Google+
  3. September 12th 2012, 02:33 PM #3
    hplitz
    hplitz is offline
    Newbie
    Joined
    Sep 2012
    From
    arizona
    Posts
    2

    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?
    Follow Math Help Forum on Facebook and Google+
  4. September 12th 2012, 02:38 PM #4
    Plato
    Plato is offline
    MHF Contributor
    Joined
    Aug 2006
    Posts
    16,995
    Thanks
    775
    Awards
    1
    MHF Donor

    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.
    Follow Math Help Forum on Facebook and Google+
« Help with Calculating the Cross and Dot Product | Having difficulties with the algebra of this limit, and a quick question about UD lim »

Similar Math Help Forum Discussions

  1. Question about finding the limit of a piecewise function of a piecewise function?
    Posted in the Pre-Calculus Forum
    Replies: 14
    Last Post: October 7th 2011, 09:45 PM
  2. Find a function f: D-> R such that f is continuous but not uniformly continuous
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 18th 2011, 08:19 AM
  3. How I find a Function f that is continuous but not uniformly continuous
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 18th 2011, 07:24 AM
  4. Laplace Transform of a Continuous Piecewise Function
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: November 28th 2010, 03:27 PM
  5. Find the discontinuities of a piecewise function
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 25th 2010, 09:33 AM

Search Tags


/mathhelpforum @mathhelpforum