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Thread: Please help me with a problem on continuity?

  1. #1
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    Please help me with a problem on continuity?

    Hello! We've been given homework on continuity and I tried solving one of the items but got a little stuck... I don't really know what else to do. Can someone please point me in the right direction? I also posted a picture of my attempt at solving it just in case I was actually doing the right thing but made a little mistake along the way. Please let me know. All your help is highly appreciated!
    Attached Thumbnails Attached Thumbnails Please help me with a problem on continuity?-mathquestion1.jpg   Please help me with a problem on continuity?-document-2_2-1-.jpg   Please help me with a problem on continuity?-document-2_3.jpg  
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  2. #2
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    Re: Please help me with a problem on continuity?

    When x=1, you need to equate 3-2k = 3c+k , that is: 3c+3k=3 or c+k = 1

    When x=-2, you need to equate the expressions in terms of c and k (I can't read your work, but the method is the same as for x=1.)

    This will give you two equations in two unknowns, so you should be able to solve for c and k.

    (You seem to have attempted to use elimination on the first page of your working, but you had two expressions (no equal signs) and not two equations.)

    Give it another go. Check your answer by substituting c and k back into the hybrid function and check where x= 1 and x=-2.
    Thanks from topsquark, HallsofIvy and kaonashi
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  3. #3
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    Re: Please help me with a problem on continuity?

    Thank you so much for your response! I managed to get x=-2 when I plugged in my answers for c and k into 3cx+k. I'm just wondering though, what happened to x=1?

    EDIT: I managed to solve it! Thank you so much!
    Last edited by kaonashi; Feb 9th 2019 at 09:08 PM.
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