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

f(x)={14, x<-3

{ax^{2}+b, -3__<__x__<__2

{18-x, x>2

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

Quote:

Originally Posted by

**hplitz** f(x)={14, x<-3

{ax^{2}+b, -3__<__x__<__2

{18-x, x>2

Solve for $\displaystyle a~\&~b$ so that $\displaystyle {\lim _{x \to - {3^ + }}}f(x) = 14~\&~{\lim _{x \to {2^ - }}}f(x) = 16$.

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?

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.