Q12 For what choice of a and b are the following functions continuous :

(i) f(x) =  

-5,        if x ≤ -1

ax - b,  if -1 < x < 3

7,         if x ≥ 3

(ii) f(x) =  

x2 , x ≤ 0

ax + b, x > 0

Solution

,,,