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

• September 12th 2012, 01:32 PM
hplitz
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
• September 12th 2012, 01:47 PM
Plato
Re: Find a and b so that the given piecewise function is continuous
Quote:

Originally Posted by hplitz
f(x)={14, x<-3
{ax2+b, -3<x<2
{18-x, x>2

Solve for $a~\&~b$ so that ${\lim _{x \to - {3^ + }}}f(x) = 14~\&~{\lim _{x \to {2^ - }}}f(x) = 16$.
• September 12th 2012, 03:33 PM
hplitz
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?
• September 12th 2012, 03:38 PM
Plato
Re: Find a and b so that the given piecewise function is continuous
Quote:

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.