# Continuity

• Nov 7th 2009, 09:08 PM
ctran
Continuity
How would you find a and b so that f and f' is continuous where,

f(x)= x-2 , x<2
ax^(2)-bx , x>= 2
• Nov 7th 2009, 10:10 PM
harbottle
You know:

$a\cdot (2)^2 - b\cdot (2) = 2$
$2a\cdot (2) - b = -1$

Now you can find a and b