f(x) = -12x - 5 if x < -2
f(x) = ax^2 + bx + c if -2 <= x <= 2
f(x) = 4x - 4 if x > 2
Find a, b, and c so that f is differentiable everywhere.
(Hint: Find a system of four equations of three unknowns. This system will still have a solution.)
I've been working on this problem for 3 days and I can't find a solid answer. Its due tomorrow and I'm freaking out. Can anyone point me in the right direction?
f(x) = ax^2 + bx + c if -2 <= x <= 2
f(x) = 4x - 4 if x > 2
Find a, b, and c so that f is differentiable everywhere.
(Hint: Find a system of four equations of three unknowns. This system will still have a solution.)
I've been working on this problem for 3 days and I can't find a solid answer. Its due tomorrow and I'm freaking out. Can anyone point me in the right direction?