Finding constants to make function continuous

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January 3rd 2009, 05:07 PM
Neverending

Finding constants to make function continuous

http://i146.photobucket.com/albums/r...itty216/er.jpg
Please help!
January 3rd 2009, 05:15 PM
Chris L T521

Quote:

Originally Posted by Neverending

http://i146.photobucket.com/albums/r...itty216/er.jpg
Please help!

You want to make sure that you satisfy these conditions:

$\lim_{x\to-9^-}f\left(x\right)=\lim_{x\to-9^+}f\left(x\right)$

and

$\lim_{x\to7^-}f\left(x\right)=\lim_{x\to7^+}f\left(x\right)$

What will then happen is this: You will have generated a system of equations, and now you can easily solve for a and b.

Can you try to take it from here?
January 3rd 2009, 05:17 PM
skeeter

chris said the same thing
January 3rd 2009, 05:18 PM
Neverending

i generated the equations : 8=-9x + b and -8=7x + b and found b to be -1.

However, I do not know how to find a.. =[

EDIT: I think I got it.. I got a and b to both equal -1.

Is that correct?
January 3rd 2009, 05:31 PM
skeeter

Quote:

Originally Posted by Neverending

i generated the equations : 8=-9x + b and -8=7x

should be 8 = -9a + b and -8 = 7a + b
January 3rd 2009, 05:37 PM
Neverending

OOO!! That's why I had problems.. now I see it! Thanks so much (Wink)

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