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

1. ## 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

2. ## Re: Find a and b so that the given piecewise function is continuous

Originally Posted by hplitz
f(x)={14, x<-3
{ax2+b, -3<x<2
{18-x, x>2
Solve for $a~\&~b$ so that ${\lim _{x \to - {3^ + }}}f(x) = 14~\&~{\lim _{x \to {2^ - }}}f(x) = 16$.

3. ## 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?

4. ## Re: Find a and b so that the given piecewise function is continuous

Originally Posted by hplitz
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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