# Finding constants to make function continuous

• Jan 3rd 2009, 06:07 PM
Neverending
Finding constants to make function continuous
• Jan 3rd 2009, 06:15 PM
Chris L T521
Quote:

Originally Posted by Neverending

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?
• Jan 3rd 2009, 06:17 PM
skeeter
chris said the same thing
• Jan 3rd 2009, 06:18 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?
• Jan 3rd 2009, 06:31 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
• Jan 3rd 2009, 06:37 PM
Neverending
OOO!! That's why I had problems.. now I see it! Thanks so much (Wink)